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Matematicheskie Zametki, 2022, Volume 112, Issue 5, paper published in the English version journal (Mi mzm13788)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Jacobi's Triple-Product Identity and an Associated Family of Theta-Function Identities

H. M. Srivastavaabcd, M. P. Chaudharye, S. Chaudharyf, G. A. Salilewg

a Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3R4 Canada
b Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402 Taiwan
c Section of Mathematics, International Telematic University Uninettuno, Rome, I-00186 Italy
d Department of Mathematics and Informatics, Azerbaijan University, Baku, AZ1007 Azerbaijan
e Department of Mathematics, Netaji Subhas University of Technology, New Delhi, 110078 India
f School of Computer and System Sciences, Jawaharlal Nehru University, New Delhi, 110067 India
g Department of Mathematics, Debark University, Debark, North Gondar Zone, Ethiopia
Citations (1)
Abstract: The main object of this paper is to present a family of $q$-series identities which involve some of the theta functions of Jacobi and Ramanujan. Each of these (presumably new) $q$-series identities reveals interesting relationships among three of the theta-type functions which stem from the celebrated Jacobi's triple-product identity in a remarkably simple way. The results presented in this paper are motivated essentially by a number of recent works dealing with the subject matter which is investigated herein.
Keywords: theta-function identities, Jacobi's triple-product identity, Ramanujan's theta functions, $q$-series identities, quadratic forms and elliptic functions, number theory and the theory of partitions.
Funding agency Grant number
NBHM 02011/12/2020 NBHM
University Grants Commission F.4-2/2006 (BSR)/MA/18-19/0022
The research work of the second-named author (M. P. Chaudhary) was sponsored by the Major Research Project of the National Board of Higher Mathematics (NBHM) of the Department of Atomic Energy (DAE) of the Government of India by its sanction letter (Reference Number 02011/12/2020 NBHM (R. P.)/R D II/7867) dated 19 October 2020. The third-named author (Sangeeta Chaudhary) was sponsored by the UGC-Dr. D. S. Kothari Post-Doctoral Fellowship Scheme under the Grant Number F.4-2/2006 (BSR)/MA/18-19/0022.
Received: 01.12.2020
Revised: 22.06.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 5, Pages 755–762
DOI: https://doi.org/10.1134/S0001434622110116
Bibliographic databases:
Document Type: Article
Language: English
Citation: H. M. Srivastava, M. P. Chaudhary, S. Chaudhary, G. A. Salilew, “Jacobi's Triple-Product Identity and an Associated Family of Theta-Function Identities”, Math. Notes, 112:5 (2022), 755–762
Citation in format AMSBIB
\Bibitem{SriChaCha22}
\by H.~M.~Srivastava, M.~P.~Chaudhary, S.~Chaudhary, G.~A.~Salilew
\paper Jacobi's Triple-Product Identity
and an Associated Family of Theta-Function Identities
\jour Math. Notes
\yr 2022
\vol 112
\issue 5
\pages 755--762
\mathnet{http://mi.mathnet.ru/mzm13788}
\crossref{https://doi.org/10.1134/S0001434622110116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529609}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85145402177}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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