Wang Z.X., Guo D.R., Xia X.J. — Special Functions :: Электронная библиотека попечительского совета мехмата МГУ

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Wang Z.X., Guo D.R., Xia X.J. — Special Functions

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Название: Special Functions

Авторы: Wang Z.X., Guo D.R., Xia X.J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 1989

Количество страниц: 720

Добавлена в каталог: 05.07.2008

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Предметный указатель

Orthonormal system(set), weight      36
Orthonormalixation process      39
Parabolic cylinder, coordinates      661
Parabolic cylinder, function ${D}_{n}(z)$       320
Parabolic cylinder, function ${D}_{n}(z),$ contour integral representation      323
Parabolic cylinder, function ${D}_{n}(z),$ derivative expression      324
Parabolic cylinder, function ${D}_{n}(z),$ generating function      323
Paraboloidal coordinates      669
Parseval equality      38
Paths of Steepest Descent      382
Period parallelogram      463
Plana's summation formula      118
Poi hhammer contour      105
Point at infinity      63
Poisson, integral Representation      353
Poisson, representation      364
Quadratic transformations      177
Rational fraction expansion      17
Recurrence relations      349
Recurrence relations, $f(\alpha,\beta,\gamma,z)$       202
Recurrence relations, $\Gamma$ -function      94
Recurrence relations, ${C}_{n}^{\lambda}(z)$       291
Reductions of elliptic integrals      545
Regular solutions      56
Riemann $\zeta$ -function      114
Rodrigues formula      216
Roots of, cubic equation      654
Roots of, quartic equation      656
Rotational, oblate spheroidal coordinates      668
Rotational, paraboloidal coordinates      669
Rotational, prolate spheroidal coordinates      666
Saalschuts' summation formula      190
Schlaefli, formula      217
Schlaefli, integral representation      251
Singular point      48
Singular point, irregular      56
Singular point, regular      56
Sonine finite integral formula, first      399
Sonine finite integral formula, second      400
Sonine polynomial      327
Sonine-Gegenbaner, formula      401

Sonine-Gegenbaner, integral formula      408
Spherical, Bessel functions      376
Spherical, degree l      242
Spherical, polar coordinates      660
Spherical, surface harmonics      244
Stable, region      638
Stable, solution      637
Steepest path      382
Stirling's formula      112
Stokes, equation      67 90
Stokes, phenomenon      315 380
Strove integral formula      403
Sturm's sequence      588
Subnormal solution      77
Theta function $\theta(v)$       498
Theta function $\theta(v)$ , (Jacobi) $\Theta(u), H(u)$       522
Theta functions (of Jacobi) ${\vartheta}_{k}(v)$       498
Thomson (Kelvin) functions      374 375
TMcomi function      307 336
Toroidal coordinates      673
Transformation of Landen-type      516 543 562
Transformation of Landen-type, simplified      520
Ultra-spherical polynomial      274
Unicursal curve      490
Unstable, region      638
Unstable, solution      637 638
Walli's product      99
Watson lemma      34 384 388
Weber equation      67 75
Weber-Schafheitlin integral      405
Weierstrass elliptic function $\varphi(z)$       459 466
Weierstrass elliptic function $\varphi(z)$ , homogeneity      476
Weierstrass elliptic function $\varphi(z)$ , invariant      469
Weierstrass' general factor theorem      27
Weierstrass* infinite product      98
Whipple transformation      293 442
Whittaker, equation      300 346
Whittaker, function      301
Whittaker, function, ${W}_{k,m}(z)$       305
Whittaker, function, integral representation      302
Whole-period solution      615 621 624 625
WKBJ method      640

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