Article ID: MTJPAM-D-20-00024

Title: A Family of Theta-Function Identities Based Upon q-Binomial Theorem and Heine’s Transformations


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00024; Volume 2 / Issue 2 / Year 2020, Pages 1-6

Document Type: Research Paper

Author(s): Hari Mohan Srivastava a , Mahendra Pal Chaudhary b , Feyissa Kaba Wakene c

aDepartment of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada – Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China – Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan

bDepartment of Mathematics, Netaji Subhas University of Technology, Sector 3, Dwarka, New Delhi 110078, India

cDepartment of Mathematics, Madda Walabu University, Robe City, Bale Zone, Ethiopia

Received: 12 August 2020, Accepted: 21 August 2020, Available online: 23 September 2020.

Corresponding Author: Hari Mohan Srivastava (Email address: harimsri@math.uvic.ca)

Full Text: PDF

Abstract

The authors establish a set of two presumably new theta-function identities which are based upon q-binomial theorem and Heine’s transformations. Several closely-related identities such as (for example) q-product identities and Jacobi’s triple-product identity are also considered.

Keywords: Jacobi’s triple-product identity, q-Product identities, Euler’s Pentagonal Number Theorem, q-Binomial theorem, Heine’s transformations

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