Gasper G., Rahman M. — Basic hypergeometric series :: Электронная библиотека попечительского совета мехмата МГУ

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Gasper G., Rahman M. — Basic hypergeometric series

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Название: Basic hypergeometric series

Авторы: Gasper G., Rahman M.

Аннотация:

Thorough and up-to-date, this book is an authoritative account of basic hypergeometric series and their applications. The authors provide explicit and detailed information about summation, transformation and expansion formulas and contour integrals. They relate the general results to other important mathematical functions and combinatorial questions.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 287

Добавлена в каталог: 15.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Transformation formulas (selected), Bailey’s very-well-poised $_{10}\phi_9$ transformation      39 47—49 244
Transformation formulas (selected), bibasic      95
Transformation formulas (selected), cubic transformations      83 99
Transformation formulas (selected), Heine’s $_{2}\phi_1$ transformations      9 10 241
Transformation formulas (selected), Jackson’s $_2\phi_1$ , $_2\phi_2$ , and $_3\phi_2$ transformations      11 23 241 242
Transformation formulas (selected), nearly-poised $_5\phi_4$ and $_7\phi_6$ series      38 39 244
Transformation formulas (selected), q-extensions of Clausen’s formula      213 216 217 232 243
Transformation formulas (selected), q-series      28 110 116 117 120—122 241—248
Transformation formulas (selected), quadratic transformations      66—70 81 82 86—90 93 243—246
Transformation formulas (selected), quartic transformations      84 100
Transformation formulas (selected), Sears — Carlitz transformation      55 242
Transformation formulas (selected), Sears’ $_3\phi_2$ transformations      61—64 241 245 246
Transformation formulas (selected), Sears’ $_4\phi_3$ transformations      41 242
Transformation formulas (selected), Sears’ transformations of well-poised series      119 120
Transformation formulas (selected), Singh’s quadratic transformation      89 243
Transformation formulas (selected), three-term transformations      22 42 45 52 54 63—65 67 68 92 106 245 246
Transformation formulas (selected), very-well-poised $_5\phi_4$ series with arbitrary argument      65

Transformation formulas (selected), very-well-poised $_8\phi_7$ series      40—42 45 242 243
Transformation formulas (selected), very-well-poised $_8\psi_8$ and $_{10}\psi_{10}$ series      132 133 246 247
Transformation formulas (selected), very-well-poised $_{2r+2}\phi_{2r+1}$ 8eries      122
Transformation formulas (selected), very-well-poised $_{2r}\psi_{2r}$ and $_{2r-1}\psi_{2r-1}$ series      130—132
Transformation formulas (selected), Watson’s transformations      35 242
Transformation formulas (selected), well-poised $_3\phi_2$ series with arbitrary argument      64 246
Transformation formulas (selected), Whipple’s transformation      41
Triple product identity      12 239
Truncated series      see “Partial sums”
Turan-type inequality      194
Ultraspherical polynomials      2
Vandermonde’s formula      2 3
Very-well-poised series      31 32 126
Wall polynomials      196
Watson’s transformations      35 242
Weight function      160
Well-poised series      31 32 126
Whipple’s transformation formula      41

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