A family of theta-function identities related to Jacobi's triple-product identity

DOI10.1134/S1061920820010148zbMath1435.11077OpenAlexW3011938227MaRDI QIDQ2307882

M. P. Chaudhary, Sangeeta Choudhary, Hari M. Srivastava

Publication date: 25 March 2020

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920820010148

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Analytic theory of partitions (11P82) Applications of basic hypergeometric functions (33D90)

Related Items (7)

Jacobi's triple-product identity and an associated family of theta-function identities ⋮ A NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY ⋮ Unnamed Item ⋮ A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity ⋮ On relationships between q-product identities and combinatorial partition identities ⋮ On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity ⋮ On certain new differential equations for ratio of theta functions

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
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• TWO IDENTITIES INVOLVING THETA FUNCTIONS
• TWO THETA FUNCTION IDENTITIES
• Certain derived WP-bailey pairs and transformation formulas for q-hypergeometric series
• THE QUINTUPLE PRODUCT IDENTITY
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