On Certain Special Transformation Involving Basic Hypergeometric Functions


Affiliations

  • Gorakhpur University, Department of Mathematics, Gorakhpur, India
  • T. D. P. G. College, Department of Mathematic, Jaunpur, India
  • T. D. P. G. College, Department of Mathematics, 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.

Subject Discipline

Mathematical Sciences

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References

G. E. Andrews and B. C. Berndt, Ramanujan’s Lost Note Book Part I, Springer Verlag, Berlin, 2005.

G. E. Andrews and B. C. Berndt, Ramanujan’s Lost Note Book PartII, Springer Verlag, Berlin, 2009.

S. Ramanujan, Lost Note Book of Ramanujan, Narosa, New Delhi, 1987.


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