## Generalized hypergeometric series |

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### Contents

Preliminary notations and elementary | 9 |

Transformations of generalized hypergeo | 27 |

hypergeometric series | 63 |

Copyright | |

### Common terms and phrases

5F4 series Agarwal aq/b aq/bc aq/c aq/d aq/e aqjb Bailey's basic analogue basic bilateral hypergeometric basic hypergeometric functions basic hypergeometric series basic series bilateral hypergeometric series bilateral series bM+N Cayley-Orr chapter coefficients cognate trigonometrical series contour integrals convergence deduced denote Dougall's theorem empty products F. H. Jackson following relation gamma functions Gauss's theorem geometric series given by Bailey hyper hypergeo hypergeometric functions hypergeometric identities hypergeometric type idem integral analogue integrand interchanged kb/a known transformations lemma M+JV Math metric series nearly-poised 4F3 series nearly-poised series notation ordinary bilateral ordinary hypergeometric series parameters partial sums positive integer Proc prove result Saalschutzian 5F4 SCIENTIFIC RESEARCH COMMITTEE Sears Sears's second kind series in terms Shukla simrs Slater terminating top read Tract transformations of basic transformations of nearly-poised UTTAR PRADESH W. N. BAILEY Wfli