On a generalization of vanishing coefficients in two \(q\)-series expansions

MaRDI QIDQ6614574

Ranganatha D., Channabasavayya

Publication date: 7 October 2024

Published in: Journal of the Ramanujan Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(q\)-seriesexpansions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

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• The 5-dissections of two infinite product expansions
• Several \(q\)-series related to Ramanujan's theta functions
• New infinite \(q\)-product expansions with vanishing coefficients
• Two remarkable \(q\)-series expansions
• Vanishing coefficients of \(q^{5n+r}\) and \(q^{11n+r}\) in certain infinite \(q\)-product expansions
• Results on vanishing coefficients in certain infinite \(q\)-series expansions
• Vanishing coefficients in some q-series expansions

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