A NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY

DOI10.56827/jrsmms.2022.1001.3zbMath1517.11130MaRDI QIDQ6113714

Jian Cao, M. P. Chaudhary, Sama Arjika

Publication date: 11 July 2023

Published in: JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES (Search for Journal in Brave)

Full work available at URL: https://rsmams.org/journals/articleinfo.php?articleid=796&tag=jrsmams

zbMATH Keywords

theta functionJacobi's triple-product identityRogers-Ramanujan-Slater identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric integrals and functions defined by them (33D60) Functional equations for complex functions (39B32) Partition identities; identities of Rogers-Ramanujan type (11P84)

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ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY

Cites Work

• A family of theta-function identities related to Jacobi's triple-product identity
• Certain q-Polynomial Expansions for Functions of Several Variables. II
• FIVE RELATIONSHIPS BETWEEN CONTINUED FRACTION IDENTITIES, q-PRODUCT IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES
• CERTAIN RELATIONSHIPS BETWEEN q-PRODUCT IDENTITIES, COMBINATORIAL PARTITION IDENTITIES AND CONTINUED-FRACTION IDENTITIES
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