A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity | Zendy

M. P. Chaudhary | Zendy

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A 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 mathematique

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.

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