Geodesic
A Family of Theta-Function Identities Based Upon $R_{\alpha},R_{\beta}$ and $R_M$-Functions Related to Jacobi's Triple-Product Identity
Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 23

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DOI

We establish a set of two new relationships involving $R_{\alpha},R_{\beta}$ and $R_m$-functions, which are based up 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 $R_{\alpha},R_{\beta}$ and $R_m(m\in\mathbb{N})$, $q$-product identities and continued-fraction identities.
DOI : 10.2298/PIM2022023C
Classification : 11F27, 11P83 05A17, 05A30
Keywords: theta-function identities, $R_m$-functions, Jacobi's triple-product identity, Ramanujan's theta functions, $q$-Product identities, Euler's pentagonal number theorem, Rogers-Ramanujan continued fraction, Rogers-Ramanujan identities 
Mahendra Pal Chaudhary. A Family of Theta-Function Identities Based Upon $R_{\alpha},R_{\beta}$ and $R_M$-Functions Related to Jacobi's Triple-Product Identity. Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 23 . doi: 10.2298/PIM2022023C
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     author = {Mahendra Pal Chaudhary},
     title = {A {Family} of {Theta-Function} {Identities} {Based} {Upon} $R_{\alpha},R_{\beta}$ and $R_M${-Functions} {Related} to {Jacobi's} {Triple-Product} {Identity}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {23 },
     year = {2020},
     volume = {_N_S_108},
     number = {122},
     doi = {10.2298/PIM2022023C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2022023C/}
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