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Ïîèñê êíèã, ñîäåðæàùèõ: Orthogonal polynomials



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Kedlaya K.S., Poonen B., Vakil R. — The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary270
Abramowitz M., Stegun I. (eds.) — Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table771
Bruce C.Berndt — Ramanujan's Notebooks (part 5)557, 558
Andrews G., Askey R., Roy R. — Special Functions452
Stevens J.P. — Applied multivariate statistics for the social sciences514
Zinn-Justin J. — Quantum field theory and critical phenomena526
Abramowitz M., Stegun I. — Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables771
Wall H.S. — Analytic Theory of Continued Fractions193
Ames W.F. — Numerical methods for Partial Differential Equations326
Bulirsch R., Stoer J. — Introduction to numerical analysis150, 151ff, 363
Golub G.H., Ortega J.M. — Scientific Computing and Differential Equations : An Introduction to Numerical Methods94ff
Schweizer W. — Numerical quantum dynamics165
Conte S.D., de Boor C. — Elementary numerical analysis - an algorithmic approach251ff, 313
Rawlings J.O., Pantula S.G., Dickey D.A. — Applied Regression Analysis: A Research Tool242
Rencher A.C. — Methods of multivariate analysis222—225
Myers J.L., Well A.D. — Research design and statistical analysissee Trend analysis
Bini D., Pan V.Y. — Polynomial and matrix computations. Fundamental algorithms. Vol.1136, 137
Handscomb D.C. — Methods of numerical approximation31
Olver F.W.J. — Asymptotics and Special Functions46—48, 65 (see also “Hermite polynomials, Jacobi polynomials, Laguerre polynomials, Legendre polynomials”)
Conte R. — Painleve Property: One Century Later246
Helgaker T., Jorgensen P., Olsen J. — Molecular Electronic-Structure Theory. Part 2358
Johnson N., Kotz S., Kemp A.W. — Univariate discrete distributions27—29
Baker G.A., Graves-Morris P. — Pade approximants (vol. 2)I: 82—86, 209—210, 255—256
Bellman R. — Methods of nonlinear analysis (Vol. 1)229
Baker G.A., Graves-Morris P. — Pade approximants (vol. 1)I:82—86, 209—210, 255—256
Kythe P.K., Schaferkotter M.R. — Partial Differential Equations and Mathematica86
Jones W.B., Thron W.J. — Continued fractions: Analytic theory and applications6, 7, 250—255
Borwein P, Erdelyi T — Polynomials and polynomial inequalities57—79
Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists982
Young R.M. — An Introduction to Non-Harmonic Fourier Series, Revised Edition206
Jackson D. — Fourier Series and Orthogonal Polynomials45—68, 123—125, 149—208, 213—216, 223—228
Rainville E.D. — Special Functions147—156, 240
Khuri A.I. — Advanced calculus with applications in statistics437, 453
Buckingham R.A. — Numerical Methods306, 325
Lay D.C. — Linear Algebra And Its Applications388
Phillips G.M. — Interpolation and Approximation by Polynomials64
Nikiforov A.F., Uvarov V. — Special Functions of Mathematical Physics: A Unified Introduction with Applications29, 394
Havin V.P., Nikolski N.K. (eds.) — Linear and Complex Analysis Problem Book 3 (part 2)7.17, 13.0, 13.1, 13.2, 13.4, 13.6
Erdelyi A. — Higher Transcendental Functions, Vol. 3see “Polynomials”
Young R.M. — An Introduction to Nonharmonic Fourier Series206
Stetter H. J. — Numerical polynomial algebra137
Shohat J. — The problem of momentsix, x, 35, 36, 39, 130, 132, 133, 136, 137, 138
Aldrovandi R. — Special matrices of mathematical physics (stochastic, circulant and bell matrices)178
Erdelyi A. — Higher Transcendental Functions, Vol. 2153 ff.
Hamming R.W. — Numerical methods for scientists and engineers452
Hazewinkel M. — Handbook of Algebra (part 2)709
Kincaid D., Cheney W. — Numerical analysis: mathematics of scientific computing459
Bateman H. — Partial Differential Equations of Mathematical Physics317, 325
Mehta M.L. — Random Matrices71, 77, 78, 101, 103, 107, 108, 118
Antia H.M. — Numerical Methods for Scientists and Engineers188, 195, 196, 200, 402, 406—409, 855
Kreyszig E. — Advanced engineering mathematics209
Gilmore R. — Lie Groups, Lie Algebras and Some of Their Applications54
Estrada R., Kanwal R.P. — A distributional approach to asymptotics theory and applications405
Luke Y.L. — The special functions and their approximations (volume 1)see Chapter VIII (267—329)
Haight F.A. — Handbook of the Poisson Distribution64
Garbey M., Kaper H.G. — Asymptotic Analysis and the Numerical Solution of Partial Differential Equations, Vol. 13047
Wimp J. — Computation with recurrence relations53
Luke Y.L. — Mathematical Functions and Their Approximations428, 482 (see also Jacobi polynomials, Chebyshev polynomials, etc.)
Trefethen L.N., Bau D. — Numerical Linear Algebra285—292, 341
Conte R. — The Painlevé property: One century later246
Baker G.A. — Essentials of Padé Approximants in Theoretical Physics85—89
Neter J., Kutner M.H., Wasserman W. — Applied Linear Regression Models319
Snyder M.A. — Chebyshev methods in numerical approximation5, 6, 7, 34
Fike C.T. — Computer Evaluation of Mathematical Functions97
Bellman R.E., Dreyfus S.E. — Applied Dynamic Programming323
Marks R.J.II. — The Joy of Fourier10, 42, 43, 53
Jordan C. — Calculus of Finite Differences436
Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB337, 361
Meurant G. — The Lanczos and conjugate gradient algorithms: from theory to finite precision computationsxii, 1, 139
Rice J.R. — Linear Theory. Volume 1. The approximation of functions36
Gloub G.H., Ortega J.M. — Scientific Computing and Differential Equations94ff
Natanson I.P. — Constructive function theory, Volume II. Approximation in mean45
Hamming R.W. — Numerical Methods For Scientists And Engineers238
Fox L., Parker I.B. — Chebyshev Polynomials in Numerical Analysis8, 15, 27—29, 34—39, 45, 83
Stewart G.W. — Afternotes on Numerical Analysis169, 171
Bellman R. — Perturbation Techniques in Mathematics, Physics, and Engineering113
Richards P.I. — Manual of Mathematical Physics283
Muller J.-M. — Elementary functions: algorithms and implementation22
Zhang S., Jin J. — Computation of Special Functions12—43
Luke Y.L. — Special Functions and Their Approximations. Volume III, 267—329, see also "Jacobi polynomials", "Chebyshev polynomials", "Bessel polynomials"
Mason R.L., Gunst R.F., Hess J.L. — Statistical Design and Analysis of Experiments, with Applications to Engineering and Science207
Krall A.M. — Hilbert Space, Boundary Value Problems, and Orthogonal Polynomialsxiii, 223, 343
Kendall M.G. — The advanced theory of statistics (vol. 2)146—154, 159—167
Aitken A.C. — Statistical mathematics115, 116, 120, 124
Lemm J.M., Meurant G. — Computer Solution of Large Linear Systems41, 267, 287, 320, 374, 375, 515
Hassani S. — Mathematical Methods: for Students of Physics and Related Fields227—230
Natterer F., Wubbeling F. — Mathematical methods in image reconstruction6
Kanwal R.P. — Generalized functions: Theory and techniquesee "Polynomials"
Godsil C. — Algebraic Combinatorics (Chapman Hall Crc Mathematics Series)1, 6, 60, 131
Abramowitz M., Stegun I.A. (eds.) — Handbook of mathematical functions (without numerical tables)771
Rivasseau V. — From Perturbative to Constructive Renormalization129
Wester M.J. — Computer Algebra Systems: A Practical Guidesee also "Chebyshev polynomials"
Brezinski C. — History of Continued Fractions and Padé Approximants165, 204, 213, 291
John P. — Statistical Design and Analysis of Experiments (Classics in Applied Mathematics No 22. )50
Dennery P., Krzywicki A. — Mathematics for Physicists203—216
Srivastava H.M., Manocha H.L. — A Treatise on Generating Functions9, 71, 73, 76, 139, 403, 409, 434
Hoel P. — Introduction to Mathematical Statistics176
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