ON CERTAIN TRANSFORMATION FORMULAE FOR BASIC HYPERGEOMETRIC FUNCTIONS AND BASIC INFINITE PRODUCTS”
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DEPARTMENT OF MATHEMATICS AND STATISTICS SAM HIGGINBOTTOM UNIVERSITY OF AGRUCULTURE, TECHNOLOGY AND SCIENCES, ALLAHABAD-211007 INDIA 2019
Abstract
Abstract:
In the present work,
Certaion transformation formulae for Basic Hypergeometric Functions and Bibasic series are established by using Bailey‟s Transform.
Certaion transformation formulae for Basic Hypergeometric Functions are established by using some WP Bailey‟s Pairs in well known theorems.
The results involving the Multi summation Identity in terms of ratio of infinite products are obtained by using m-Dissection.
The results involving two Basic Bilateral Hypergeometric Functions and ratio of infinite products are derived by using some known results , similarly the results involving three Basic Bilateral Hypergeometric Functions and ratio of infinite products are derived by using some known results.
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Ph. D. Thesis
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