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| Nikiforov A.F., Uvarov V. — Special Functions of Mathematical Physics: A Unified Introduction with Applications |
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Название: Special Functions of Mathematical Physics: A Unified Introduction with Applications
Авторы: Nikiforov A.F., Uvarov V.
Язык: 
Рубрика: Физика/
Статус предметного указателя: Готов указатель с номерами страниц
ed2k:
Год издания: 1988
Количество страниц: 427
Добавлена в каталог: 02.04.2008
Операции: Положить на полку |
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| Предметный указатель |
Poisson's integrals 206 223 355 404 407
Poles of  373
Polynomials of discrete variable 10
Polynomials on lattices 167
Polynomials, Bessel 24
Polynomials, Charlier 117
Polynomials, Chebyshev 22 117
Polynomials, classical orthogonal 21 (Chap.II)
Polynomials, deviating least from 0 35—36
Polynomials, dual 126
Polynomials, Gegenbauer 22
Polynomials, Hahn 11
Polynomials, Hermite 21
Polynomials, hypergeometric type 63
Polynomials, hypergeometric type, generating functions 26
Polynomials, hypergeometric type, orthogonal 29
Polynomials, Jacobi 21
Polynomials, Kravchuk 117
Polynomials, Laguerre 21
Polynomials, Meixner 117
Polynomials, Racah 159
Polynomials, ultraspherical 22
Potential field 65
Potentials multipole expansion 89
Potentials, special 318
Quadrature formulas xiii 353
Qualitative behavior 45
quantum mechanics xiii xvi l 65 71 234
Quantum mechanics solution of problems §26 317
Quasi classical approximation4 7 §19 235
Racah coefficients xvii 159
Racah polynomials 159 350
Racah polynomials analogs 174
Racah polynomials tables 181 186 195
Radiation xv
Recursion, functions of hypergeometric type 14 261
Recursion, functions of second kind 98
Recursion, orthogonal polynomials 36
Regge symmetry 347
Regular function 12
Rodrigues formula xiii xvi 9
Rodrigues formula for polynomials of hypergeometric type 6 9 392
Rodrigues formula, consequences of 24
Rodrigues formula, difference analogs 111 139 149
Rodrigues, B.O. 9
Rotation group xiii 81
Rotational paraboloidal coordinates 297
Rotations 85
Rozhdestvenskii, B.L. xvii
Samarskii, A.A. xiv
| Satellites 363
Scattering xiii 234 317
Schrodinger equation xiii 1 65 71 239 245 248 318
Schrodinger equation central field 318
Schrodinger equation Coulomb field 320
Second kind 96 140
Selection rules 348
Self-adjoint form 7 109
Semiclassical approximation 235 244 248
Separation of variables 295
Series of eigenfunctions 311
Series, Fourier 56
Solid spherical harmonics 81
Sommerfeld integrals 215 293 404 407
Special functions of mathematical physics xii
Spherical harmonics xvi 76 397—399
Spherical harmonics addition theorem 87
Spherical harmonics, generalised 83 90 134 398
Spherical harmonics, solid 81
Spherical spinors 330
Steklov, V.A. xiii 237
Stellar structure xv
Stirling's formula 379 388
Sturm — Liouville problems 299
Sturm — Liouville problems, comparison theorem 305
Sturm — Liouville problems, eigenvalues and eigenfunctions 302
Sturm — Liouville problems, oscillation of solutions 304—307
Summation by parts 107 140
Summation, numerical 355
Suslov, S.K. xvii
Symmetry 122
Transfer process 300
Tsirulis, T.T. xvii
Turning points 248
Ultraspherical polynomials 22
Uniform convergence 61 212
Uniqueness of system 34
Vibrations 299
Voigt integral 357—358 360
Watson's lemma 217 381
Wave functions 65
Wave functions, expansions of 234 407
Wave functions, hydrogen-like 324
Weber function 219
Weight functions 29 353
Whittaker functions 290
Wigner's 6j-symbols 350
Wigner's D-functions 86
WKB method (Wentzel — Kramers — Brillouin) xiii 235
wronskian 30 302
Zeros of orthogonal polynomials 39 359—361
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