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Kadison R.V., Ringrose J.R. Ч Fundamentals of the theory of operator algebras (vol. 1) Elementary Theory97
Abell M., Braselton J. Ч Differential Equations with Mathematica93, 243
Bell W.W. Ч Special Functions for scientists and engineers42
Koepf W. Ч Hypergeometric Summation. An algorithmic approach to summation and special function identities.1, 22, 42, 101, 178
Abramowitz M., Stegun I. (eds.) Ч Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table332, 486, 773, see orthogonal polynomials
Bruce C.Berndt Ч Ramanujan's Notebooks (part 2)65Ч69
Apostol T.M. Ч Calculus (vol 1)571
Hunter J.K., Nachtergaele B. Ч Applied Analysis145, 272
Spiegel M.R. Ч Mathematical Handbook of Formulas and Tables146, 147 (see also "Legendre functions")
Andrews G., Askey R., Roy R. Ч Special Functions252
Apostol T.M. Ч Calculus (vol 2)25, 174
Press W.H., Teukolsky S.A., Vetterling W.T. Ч Numerical recipes in FORTRAN77246, 1122
Chung T.J. Ч Computational fluid dynamics466Ч7, 635
Bathe K.-J. Ч Finite element procedures252
Abramowitz M., Stegun I. Ч Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables332, 486, 773; see УOrthogonal polynomialsФ
Morse P., Feshbach H. Ч Methods of Theoretical Physics (part 1)549, 748
Morse P., Feshbach H. Ч Methods of Theoretical Physics (part 2)549, 748
Wall H.S. Ч Analytic Theory of Continued Fractions344
Bulirsch R., Stoer J. Ч Introduction to numerical analysis155
Apostol T.M. Ч Mathematical Analysis336 (Ex. 11.7)
Mauch S. Ч Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers767
Hayek S.I. Ч Advanced mathematical methods in science and engineering71, 77, 81, 85
Latrve D.R., Kreider D.L., Proctor T.G. Ч Hp-48G/Gx Investigations in Mathematics86, 358ff
Neta B. Ч Numerical solution of partial differential equations81
Schweizer W. Ч Numerical quantum dynamics161
Stein E. (ed.), Ramm E. Ч Error-controlled adaptive finite elements in solid mechanics264, 265
Conte S.D., de Boor C. Ч Elementary numerical analysis - an algorithmic approach255, 259, 260, 315
Barbeau E.J. Ч Polynomials: a problem book71, 407
Messer R. Ч Linear Algebra: Gateway to Mathematics171
Zienkiewicz O.C., Taylor L.R. Ч The finite element method (vol. 1, The basis)219, 444
Meyer C.D. Ч Matrix analysis and applied linear algebra319
Bini D., Pan V.Y. Ч Polynomial and matrix computations. Fundamental algorithms. Vol.155
Handscomb D.C. Ч Methods of numerical approximation37, 44
Olver F.W.J. Ч Asymptotics and Special Functions48 (see also УFerrers functions, Legendre functionsФ)
Dingle R. Ч Asymptotic Expansions: Their Derivation and Interpretation45, 47, 71, 72
Abell M.L., Braselton J.P. Ч Mathematica by Example246, 247
Weinberger H.F. Ч First course in partial defferential equations with complex variables and transform methods191, 192, 193
Liboff R. Ч Kinetic Theory229
Hayman W.K. Ч Multivalent Functions231
Helgaker T., Jorgensen P., Olsen J. Ч Molecular Electronic-Structure Theory. Part 2207 (see also УOrthogonal polynomialsФ)
Miklowitz J. Ч The theory of elastic waves and waveguides562Ч565
Harmuth H.F. Ч Sequency theory: foundations and applications23
Polya G., Szego G. Ч Problems and Theorems in Analysis: Integral Calculus. Theory of FunctionsIII 157, III 219, 135, 147
Dill K.A., Bromberg S. Ч Molecular Driving Forces: Statistical Thermodynamics in Chemistry and Biology204
Leach A.R. Ч Molecular Modelling Principles and Applications32
Balser W. Ч Formal power series and linear systems of meromorphic ordinary differential equations5
Curtain R.F., Pritchard A.J. Ч Functional Analysis in Modern Applied Mathematics7, 61
Debnath L., Mikusinski P. Ч Introduction to Hilbert Spaces with Applications100, 102, 254, 376
Lorentzen L., Waadeland Ч Continued fractions and applications334, 442
Bogachev V.I. Ч Measure Theory Vol.1259
Borwein P, Erdelyi T Ч Polynomials and polynomial inequalities57
Dudley R.M., Fulton W. (Ed) Ч Real Analysis and Probability172
Willers A. Ч Practical Analysis187, 243, 319, 323
Young R.M. Ч An Introduction to Non-Harmonic Fourier Series, Revised Edition15
Comtet L. Ч Advanced Combinatorics. The Art of Finite and Infinate Expansions50, 87, 164
Reed M., Simon B. Ч Methods of Modern mathematical physics (vol. 3) Scattering theory149
Jackson D. Ч Fourier Series and Orthogonal Polynomials45Ч68, 213Ч216
McMano D., Topa D.M. Ч A Beginner's Guide to Mathematica487Ч494
Rainville E.D. Ч Special Functions130Ч132, 157Ч186, 191, 194Ч196, 199, 208, 215Ч216, 232, 244, 247Ч248, 251Ч253, 276Ч277, 284, 287Ч288, 290Ч291, 303
Khuri A.I. Ч Advanced calculus with applications in statistics440, 442
Egorov Y.U. (Ed), Gamkrelidze R.V. (Ed) Ч Partial Differential Equations I: Foundations of the Classical Theory144
Delves L.M. (ed.), Walsh J. (ed.) Ч Numerical Solution of Integral Equations19, 22, 88, 137, 203, 323
Gasper G., Rahman M. Ч Basic hypergeometric series2
Eubank R.L. Ч Nonparametric regression and spline smoothing76
Polya G. Ч Problems and Theorems in Analysis: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. GeometryV 58 44, V 120 56, 85, VI 87 86, VI 88 86, VI 91 87, VI 92 87, VI 95 87, VI 96, 97 87, VI 87 270
Agarwal R.P., O'Regan D., Grace S.R. Ч Oscillation Theory for Difference and Functional Differential Equations13
Turnbull H.W. Ч An Introduction to the Theory of Canonical Matrices102
Planck M. Ч Introduction to Theoretical Physics158
Galindo A., Pascual P. Ч Quantum Mechanics TwoI 301
Menzel D.H. Ч Mathematical Physics174
Collins G.W. Ч Fundamentals of Stellar Astrophysics177, 215, 269
Milovanovic G.V., Mitrinovic D.S., Rassias T.M. Ч Topics in Polynomials: Extremal Problems, Inequalities, Zeros39
Sokolnikoff I.S. Ч Higher Mathematics for Engineers and Physicists344, 384
Konopinski E.J. Ч Electromagnetic fields and relativistic particles72Ч73, 83, see also Associated Legendre functions
van Eijndhoven S.J.L., de Greef J. Ч Trajectory Spaces, Generalized Functions and Llnbounded Operators66
Lay D.C. Ч Linear Algebra And Its Applications393
Dieudonne J. Ч Foundation of Modern Analysis6.6 and 8.14, prob. 1
Sokolnikoff I.S. Ч Mathematics of Physics and Modern Engineering159
Gallier J. Ч Geometric Methods and Applications: For Computer Science and Engineering178
Apostol T.M. Ч Calculus: One-Variable Calculus with an Introduction to Linear Algebra, Vol. 1571
Ting L., Klein R. Ч Viscous Vortical Flows (Lecture Notes in Physics)12
Bhagavantam S., Venkatarayudu T. Ч Theory of Groups and Its Application to Physical Problems64, 256
Friedman M., Kandel A. Ч Introduction to pattern recognition52
Stakgold I. Ч Green's Functions and Boundary Value Problems271, 286
David H., Nagaraja H. Ч Order Statistics (Wiley Series in Probability and Statistics)51, 71Ч73
Kadison R.V., Ringrose J.R. Ч Fundamentals of the Theory of Operator Algebras (vol. 2) Advanced Theory97
Erdelyi A. Ч Higher Transcendental Functions, Vol. 1120, 150
Nikiforov A.F., Uvarov V. Ч Special Functions of Mathematical Physics: A Unified Introduction with Applications22, 28, 46, 393, 396
Weir A.J. Ч Lebesgue Integration and Measure200, 202
Goldber M.A. (ed.) Ч Numerical Solution of Integral Equations77
Bogachev V.I. Ч Measure Theory Vol.2I: 259
Havin V.P., Nikolski N.K. (eds.) Ч Linear and Complex Analysis Problem Book 3 (part 2)7.17, 13.0, 13.2, 20.7
Barber J.R. Ч Elasticity298, 303, 308
Povey M.J. Ч Ultrasonic Techniques for Fluids Characterization111
Nayfeh M.H., Brussel M.K. Ч Electricity and Magnetism84
Erdelyi A. Ч Higher Transcendental Functions, Vol. 3see УPolynomialsФ
Mishchenko M.I. Ч Scattering, Absorption, and Emission of Light by Small Particles360, 365
Galindo A., Pascual P. Ч Quantum Mechanics One301
Natterer F. Ч The Mathematics of Computerized Tomography (Classics in Applied Mathematics)194
Tricomi F.G. Ч Integral equations99
Jackson J.D. Ч Classical electrodynamics56, see also УSpherical harmonicsФ
Young R.M. Ч An Introduction to Nonharmonic Fourier Series15
Cercignani C. Ч Theory and Application of the Boltzman Equation182, 353
Marden M. Ч The geometry of the zeros of a polynomial in a complex variable30
Bethe H.A., Salpeter E.E. Ч Quantum Mechanics of One-and-Two-Electron Atoms344Ч348
Shohat J. Ч The problem of moments90, 124
Bogolubov N.N., Logunov A.A., Todorov I.T. Ч Introduction to Axiomatic Quantum Field Theory17
Aldrovandi R. Ч Special matrices of mathematical physics (stochastic, circulant and bell matrices)178
Erdelyi A. Ч Higher Transcendental Functions, Vol. 2164, 178 ff.
Park D. Ч Introduction to the quantum theory635
Pomraning G.C. Ч The equations of radiation hydrodynamics18
Pipes L.A. Ч Applied Mathemattics for Engineers and Physicists323
Hamming R.W. Ч Numerical methods for scientists and engineers455
Stratton J.A. Ч Electromagnetic Theory173
Kincaid D., Cheney W. Ч Numerical analysis: mathematics of scientific computing366
Fetter A.L., Walecka J.D. Ч Quantum theory of many-particle systems516
Spiegel M.R. Ч Schaum's mathematical handbook of formulas and tablessee also УLegendre functionsФ, 146, 147
Bernstein R.B. Ч Atom-Molecule Collision Theory: Guide for the Experimentalist547, 548, 550
Evans G.A., Blackledge J.M., Yardley P. Ч Analytic Methods for Partial Differential Equations18
Wong K. Ч Asymptotic Approximations of Integrals141, 146, 420
Rogosinski W. Ч Fourier Series7, 14, 57
Egorov Y.V., Shubin M.A. Ч Partial Differential Equations I (Foundations of the Classical)144
Carrol B.W., Ostlie D.A. Ч An introduction to modern astrophysics780
Mehta M.L. Ч Random Matrices137, 518
Antia H.M. Ч Numerical Methods for Scientists and Engineers59, 188, 198, 340, 594, 595, 610, 747
Wawrzynczyk A. Ч Group representations and special functions208Ч236, 237, 240, 279, 281, 341, 657, 664
Greiner W. Ч Classical electrodynamics79
Kreyszig E. Ч Advanced engineering mathematics179, 207, 590, 826
Simmons G.F. Ч Introduction to topology and modern analysis259
Butcher J. Ч Numerical Methods for Ordinary Differential Equations198
Ash R.B., Doléans-Dade C.A. Ч Probability and Measure Theory139
Bates D.R. Ч Quantum Theory99, 139
Gilmore R. Ч Lie Groups, Lie Algebras and Some of Their Applications54
Estrada R., Kanwal R.P. Ч A distributional approach to asymptotics theory and applications174
Luke Y.L. Ч The special functions and their approximations (volume 1)273, 279
Houston W.V. Ч Principles of Mathematical Physics42
Conway J.B. Ч A Course in Functional Analysis18
Bird R.B., Armstrong R.C., Hassager O. Ч Dynamics of polymeric liquids (Vol. 1. Fluid mechanics)(1)324, (2)408
Cotterill R.M.J. Ч Biophysics: An Introduction357
Steeb W.-H. Ч Problems and Solutions in theoretical and mathematical physics. Volume 1. Introductory level181, 190
Luke Y.L. Ч Mathematical Functions and Their Approximations434, 436
Saxe K. Ч Beginning functional analysis78
Rose M.E. Ч Elementary theory of angular momentum74, 239
Beutler G. Ч Methods of Celestial Mechanics: Volume I: Physical, Mathematical, and Numerical PrinciplesI 81, 102, 244, 319
Dieudonne J. Ч Foundation of Modern Analysis6.6, 8.14, prob. 1
Baker G.A. Ч Essentials of Padé Approximants in Theoretical Physics(see Orthogonal polynomials)
Curle N., Davies H. Ч Modern Fluid Dynamics. Volume 1. Incompressible flow93
Thompson W.J. Ч Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications187
Bayin S.S. Ч Mathematical Methods in Science and Engineering18
Carmeli M. Ч Classical Fields: General Gravity and Gauge Theory6, 179, 377
Carl D. Meyer Ч Matrix Analysis and Applied Linear Algebra Book and Solutions Manual319
Mott N.F. Ч Elements of Wave Mechanics19
Tauxe L. Ч Paleomagnetic principles and practice12
Landau L.D., Lifshitz E.M. Ч The classical theory of fields106
Blanchard P., Devaney R.L. Ч Differential Equations743
Rektorys K. Ч Survey of applicable mathematics722-6, 849
Simmons G.F. Ч Differential Equations with Applications and Historical Notes155, 221
Grenander U. Ч Toeplitz Forms and Their Applications82
Nicholson W.K. Ч Linear Algebra with Applications436
Snyder M.A. Ч Chebyshev methods in numerical approximation6, 7
Ohanian H.C. Ч Classical Electrodynamics90, 96
Macrobert T.M. Ч Functions of a complex variable99, 214, 235
Press W.H., Teukolsky S.A., Vetterling W.T. Ч Numerical recipes in Fortran 90246, 1122
Bellman R.E., Dreyfus S.E. Ч Applied Dynamic Programming324
Nouredine Z. Ч Quantum Mechanics: Concepts and Applications289
Marks R.J.II. Ч The Joy of Fourier8, 42, 43, 46, 53, 72, 73, 94, 101
Smith P.A., Eilenberg S. Ч Pure and Applied Mathematics129
Jordan C. Ч Calculus of Finite Differences389, 434
Mott N.F., Sneddon I.N. Ч Wave Mechanics and Its Applications55, 980
Kreyszig E. Ч Introductory functional analysis with applications176
Bellman R.E. Ч Some vistas of modern mathematics: Dynamic programming, invariant imbedding, and the mathematical biosciences82
Harman T.L., Dabney J.B., Richert N.J. Ч Advanced Engineering Mathematicas with MATLAB93, 334
Shilov G.E. Ч An introduction to the theory of linear spaces163Ч167, 194, 268
Courant R., Hilbert D. Ч Methods of Mathematical Physics. Volume 182Ч87, 402
Singer I. Ч Bases in Banach spaces II787
White H.E. Ч Introduction To Atomic Spectra61
Rainville E. D. Ч Intermediate Course in Differential Equations160, 185
Abell M.L., Braselton J.P. Ч Differential equations with Mathematica93, 243
Rice J.R. Ч Linear Theory. Volume 1. The approximation of functions36, 39, 47
Aliprantis C. Ч Principles of real analysis295
Stratton J.A. Ч Electromagnetic Theory173
Beard D.B. Ч Quantum Mechanics(see Associated Legendre functions)
Hamming R.W. Ч Numerical Methods For Scientists And Engineers56, 240
Dym H., McKean H.P. Ч Fourier Series and Integrals26, 242, 245Ч249
Vladimirov V. S. Ч Equations of mathematical physics335
Fluegge S. (ed.) Ч Encyclopedia of physics. Vol. 9. Fluid dynamics III479, 671
Morse P.M. Ч Methods of theoretical physics549, 748
Kemble E. C. Ч The fundamental principles of quantum mechanics143Ч145, 583
McBride E.B. Ч Obtaining Generating Functions3, 81
Bransden B., Joachain C. Ч Physics of Atoms and Molecules84Ч6, 615
Bhatia R. Ч Fourier Series (Mathematical Association of America Textbooks)83
Stakgold I. Ч Green's functions and boundary value problems271, 286
Donoghue W.F. Ч Distributions and Fourier transforms172
Rektorys K. (ed.) Ч Survey of Applicable Mathematics722Ч726, 849
Koepf W. Ч Hypergeometric summation. An algorithmic approach to summation and special function identities1, 22, 42, 101, 178
Geddes K., Czapor S., Labahn G. Ч Algorithms for computer algebra141
Dunkl C.F., Xu Y. Ч Orthogonal Polynomials of Several Variables20
Coffey W.T., Kalmykov Yu.P., Waldron J.T. Ч The Langevin equation334, 387
Beard D.B. Ч Quantum Mechanicssee "Associated Legendre functions"
Muller J.-M. Ч Elementary functions: algorithms and implementation23, 25
Zhang S., Jin J. Ч Computation of Special Functions78
Andrews G.E., Askey R., Roy R. Ч Special functions252
Luke Y.L. Ч Special Functions and Their Approximations. Volume III, 273, 279
Bellman R. Ч Methods of nonlinear analysis (Vol. 2)228
Leighton R.B. Ч Principles of Modern Physics168, 169
Mandl F. Ч Quantum mechanics50Ч51
Virchenko N. Ч Generalized Associated Legendre Functions and Their Applications1
Braun M. Ч Differential Equations and Their Applications: An Introduction to Applied Mathematics195
Forschaw J.R., Ross D.A. Ч Quantum chromodynamics and the pomeron9, 11
Hildebrand F.B. Ч Advanced Calculus for Applications161
Wong R. Ч Asymptotic approximations of integrals141, 146, 420
Griffits D.J. Ч Introductions to electrodynamics138, 148
Krall A.M. Ч Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials243
Blum E.K., Lototsky S.V. Ч Mathematics of Physics and Engineering370, 430
Zeidler E. Ч Applied Functional Analysis: Applications to Mathematical Physics209
Ashby N., Miller S.C. Ч Principles of modern physics234
Koonin S.E., Meredith D.C. Ч Computational Physics-Fortran Version86, 93, 104
Greiner W. Ч Relativistic quantum mechanics. Wave equations263
Bates D.R. Ч Quantum Theory. I. Elements99, 139
Golberg M.A. Ч Numerical Solution of Integral Equations77
Apostol T.M. Ч Calculus (Volume 2): Multi-Variable Calculus and Linear Algebra with Applications25, 174
Cohen G.L. Ч A Course in Modern Analysis and Its Applications264
Rektorys K. Ч Survey of Applicable Mathematics.Volume 2.I 705, II 74, II 137
Hassani S. Ч Mathematical Methods: for Students of Physics and Related Fields229, 575
Ridley B.K. Ч Quantum Processes in Semiconductors384
Natterer F., Wubbeling F. Ч Mathematical methods in image reconstruction6
Smith R. Ч Smart material systems: model development379
Constantinescu F., Magyari E. Ч Problems in quantum mechanics396
Hartree D.R. Ч The calculation of atomic structures46
Farina J.E.G. Ч Quantum theory of scattering processes9Ч11
Dolan T.J. Ч Fusion Research: Principles, Experiments and Technology780
Dym H., McKean H. Ч Fourier Series and Integrals (Probability & Mathematical Statistics Monograph)26, 242, 245Ч249
Slater J., Frank N. Ч Introduction to Theoretical Physics158
Kirk J., Melrose D., Priest E. Ч Plasma astrophysics30, 140
Demidovich B.P., Maron I.A. Ч Computational Mathematics611
Landau L.D., Lifshitz E.M. Ч Course of Theoretical Physics (vol.3). Quantum Mechanics. Non-relativistic Theory656Ч659
Blanchard P., Bruening E. Ч Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Method222
Balser W. Ч Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations5
Sommerfeld A. Ч Partial Differential Equations in Physics129
Abramowitz M., Stegun I.A. (eds.) Ч Handbook of mathematical functions (without numerical tables)332, 486, 773, see "Orthogonal polynomials"
Zorich V.A., Cooke R. Ч Mathematical analysis II504, 516, 623
Cheney W. Ч Analysis for Applied Mathematics76, 77, 377
Zorich V. Ч Mathematical Analysis504, 516, 623
Young D.M., Gregory R.T. Ч A Survey of Numerical Mathematics, Volume 2321, 325, 402Ч408
Park D. Ч Introduction to the Quantum Theory (Pure & Applied Physics)635
Stakgold I. Ч Boundary value problems of mathematical physics123, 130, 319
Bird R.B., Curtiss C.F., Armstrong R.C. Ч Dynamics of Polymeric Liquids. Vol. 2. Kinetic Theory(1)324, (2)408
Fetter A.L., Walecka J.D. Ч Quantum theory of many-particle systems516
Jackson J.D. Ч Classical electrodynamics97, see also "Spherical harmonics"
Apostol T. Ч Mathematical Analysis, Second Edition336
Brezinski C. Ч History of Continued Fractions and Padé Approximants204
Dennery P., Krzywicki A. Ч Mathematics for Physicists208, 213Ч214, 316, see also "Legendre functions", "Spherical harmonics"
Daniels R.W. Ч Introduction to numerical methods and optimization techniques138
Vretblad A. Ч Fourier Analysis and Its Applications (Graduate Texts in Mathematics)124, 159
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