The Journal of the Indian Mathematical Society

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On Certain Special Transformation Involving Basic Hypergeometric Functions


Affiliations
1 Department of Mathematics, Gorakhpur University, Gorakhpur, India
2 Department of Mathematics, T. D. P. G. College, Jaunpur, India
     

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In this paper we establish a very general transformation involving basic hypergeometric functions. We deduce a variety of transformations as its special case. We also deduce certain interesting summatiuon for q-series.

Keywords

Basic Hypergeometric Functions, Transformation of Basic Hypergeometric Functions and Q-Series.
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  • On Certain Special Transformation Involving Basic Hypergeometric Functions

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Authors

Remy Y. Denis
Department of Mathematics, Gorakhpur University, Gorakhpur, India
S. N. Singh
Department of Mathematics, T. D. P. G. College, Jaunpur, India
S. P. Singh
Department of Mathematics, T. D. P. G. College, Jaunpur, India

Abstract


In this paper we establish a very general transformation involving basic hypergeometric functions. We deduce a variety of transformations as its special case. We also deduce certain interesting summatiuon for q-series.

Keywords


Basic Hypergeometric Functions, Transformation of Basic Hypergeometric Functions and Q-Series.