Open AccessA family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity
Author(s) -
M. P. Chaudhary
Publication year - 2020
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim2022023c
Subject(s) - triple product , identity (music) , product (mathematics) , function (biology) , set (abstract data type) , mathematics , pure mathematics , combinatorics , computer science , physics , geometry , evolutionary biology , acoustics , biology , programming language
We establish a set of two new relationships involving R?,R? and Rm-functions, which are based on Jacobi?s famous triple-product identity. We, also provide answer for an open problem of Srivastava, Srivastava, Chaudhary and Uddin, which suggest to find an inter-relationships between R?,R? and Rm(m ? N), q-product identities and continued-fraction identities.