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Singh, S. P.
- On Certain Special Transformation Involving Basic Hypergeometric Functions
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1 Department of Mathematics, Gorakhpur University, Gorakhpur, IN
2 Department of Mathematics, T. D. P. G. College, Jaunpur, IN
1 Department of Mathematics, Gorakhpur University, Gorakhpur, IN
2 Department of Mathematics, T. D. P. G. College, Jaunpur, IN
Source
The Journal of the Indian Mathematical Society, Vol 77, No 1-4 (2010), Pagination: 47-55Abstract
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.
- On Certain q-Series Identities
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Authors
Affiliations
1 Department of Mathematics, University of Gorakhpur, Gorakhpur-273009, IN
2 Department of Mathematics, T. D. P. G. College, Jaunpur-222002, IN
1 Department of Mathematics, University of Gorakhpur, Gorakhpur-273009, IN
2 Department of Mathematics, T. D. P. G. College, Jaunpur-222002, IN
Source
The Journal of the Indian Mathematical Society, Vol 78, No 1-4 (2011), Pagination: 27-34Abstract
In this paper, making use of the most generalized form of Bailey's Lemma due to Andrews, an attempt has been made to establish certain double series identities.Keywords
Double Series Identities, Bailey's Lemma, Multiple Series, Summation Formula.- On Certain Properties of Generalized Hankel Transforms
Abstract Views :135 |
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Authors
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1 Banaras Hindu University, Banaras 5, IN
1 Banaras Hindu University, Banaras 5, IN
Source
The Journal of the Indian Mathematical Society, Vol 26, No 1-2 (1962), Pagination: 35-52Abstract
Agarwal [1] gave a generalization of the well-known Hankel transform, namely f(x) = ∫ (xy)1/2J, (xy) g(y) dy.- Certain Transformations Involving Poly-Basic Hypergeometric Series
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Authors
Affiliations
1 Department of Mathematics, Gorakhpur University, Gorakhpur, (U.P.), IN
2 Department of Mathematics, T.D.P.G. College, Jaunpur, (U.P.), IN
1 Department of Mathematics, Gorakhpur University, Gorakhpur, (U.P.), IN
2 Department of Mathematics, T.D.P.G. College, Jaunpur, (U.P.), IN