[PDF][PDF] Email: yashoverdhan. vyas@ spsu. ac. in, shivani. bhatt@ spsu. ac. in, E-Mail: kalpana. fatawat@ technonjr. org

Y Vyas, S Pathak - The Vijnana Parishad of India, 2022 - docs.vijnanaparishadofindia.org
Over the years, the study of Bailey transform, Bailey lemma, Bailey pair, their variants and
their applications are the major subjects of interest. Of course, it is due to the efficiency of the …

[HTML][HTML] A General Family of q-Hypergeometric Polynomials and Associated Generating Functions

HM Srivastava, S Arjika - Mathematics, 2021 - mdpi.com
Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric
functions and the basic (or q-) hypergeometric polynomials are studied extensively and …

Bailey type transforms and applications

CM Joshi, Y Vyas - arXiv preprint math/0701192, 2007 - arxiv.org
The aim of this paper is to establish new series transforms of Bailey type and to show that
these Bailey type transforms work as efficiently as the classical one and give not only new …

Some identities between basic hypergeometric series deriving from a new Bailey-type transformation

J Mc Laughlin, P Zimmer - Journal of mathematical analysis and …, 2008 - Elsevier
J. Math. Anal. Appl. Some identities between basic hypergeometric series deriving from a new
Bailey-type transformation Page 1 J. Math. Anal. Appl. 345 (2008) 670–677 Contents lists …

[HTML][HTML] Some New Transformation Formulas for q-Series through the Bailey Transform

L Hao, L Xu - Advances in Pure Mathematics, 2023 - scirp.org
In the literature, the Bailey transform has many applications in basic hypergeometric series.
In this paper, we derive many new transformation formulas for q-series by means of the …

A note on Bailey and WP-Bailey Pairs

S Prakash, LN Mishra, V Yadav - Applied Mathematics and …, 2020 - dialnet.unirioja.es
In this paper, we have established certain theorems involving Bailey pairs and WP-Bailey
pairs. Further, making use of some known WP-Bailey pairs and theorems for constructing …

[PDF][PDF] Some q-generating functions associated with basic multiple hypergeometric series

TM Rassias, SN Singh, HM Srivastava - … AND MATHEMATICS WITH …, 1993 - core.ac.uk
Some q-Generating Functions Associated with Basic Multiple Hypergeometric Series Page 1
Computers Math. Applic. Vol. 27, No. pp. 33-39, 1994 Printed in Great Britain. All rights …

[HTML][HTML] General Summation Formulas Contiguous to the q-Kummer Summation Theorems and Their Applications

Y Vyas, HM Srivastava, S Pathak, K Fatawat - Symmetry, 2021 - mdpi.com
This paper provides three classes of q-summation formulas in the form of general
contiguous extensions of the first q-Kummer summation theorem. Their derivations are …

[HTML][HTML] A note on Bailey and WP-Bailey Pairs

SP Singh, LN Mishra, V Yadav - Applied Mathematics and Nonlinear …, 2020 - sciendo.com
In this paper, we have established certain theorems involving Bailey pairs and WP-Bailey
pairs. Further, making use of some known WP-Bailey pairs and theorems for constructing …

q-Series and Related Topics in Special Functions and Analytic Number Theory”—Foreword

HM Srivastava - Axioms, 2013 - mdpi.com
It is indeed a fairly common practice for scientific research journals and scientific research
periodicals to publish special issues as well as conference proceedings. Quite frequently …