## Contribution to the theory of generalized hypergeometric series |

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### Contents

Introduction | 1 |

Certain Results Involving Jacobis Polynomial | 22 |

Certain Infinite Integrals involving Generalized | 28 |

Copyright | |

32 other sections not shown

### Common terms and phrases

Agarwal analytic continuation basic analogue basic double hypergeometric basic hypergeometric functions basic hypergeometric series carry their usual Cayley-Orr chapter Chaundy continued fraction representation deduced defined double hypergeometric function double hypergeometric series double series E-function empty product establish the following expansions involving expansions of basic finite mathematical induction following identity following known result following result due following transformation fractional derivative G-function Ganita Gauss's theorem higher order hypergeometric identities identities of Rogers-Ramanujan induction with respect interesting special Jour known result due known summations l-aq Lambert series Laplace transform left side Lemma Lucknow Lucknow University main result multiplication theorems notations and definitions Notebook partition theoretic Proc Proof of 2.1 prove replace results involving right side Rogers-Ramanujan type sequence of parameters side of 2.1 simplification Slater Srinivasa Ramanujan Transcendental Functions uniform convergence usual meaning variables Verma yields