On the expansion of Ramanujan's continued fraction

DOI10.1023/A:1009789012006zbMath0924.11005OpenAlexW57725924MaRDI QIDQ1279863

Michael D. Hirschhorn

Publication date: 15 November 1999

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009789012006

zbMATH Keywords

periodicityseries expansionRamanujan's continued fractionsign of coefficients

Mathematics Subject Classification ID

Continued fractions (11A55) Other special functions (33E99)

Related Items (21)

THE QUINTUPLE PRODUCT IDENTITY ⋮ \(m\)-dissections of some infinite products and related identities ⋮ On the coefficients of a continued fraction of Ramanujan ⋮ On the 4-dissections of certain infinite products ⋮ Modular identities and dissections of continued fractions of order thirty-two ⋮ On the 2- and 4-dissections of Ramanujan's continued fraction and its reciprocal ⋮ On 2- and 4-dissections for some infinite products ⋮ Unnamed Item ⋮ Vanishing coefficients in some q-series expansions ⋮ 4-dissections and 8-dissections for some infinite products ⋮ On some sum–to–product identities ⋮ Continued fractions and modular functions ⋮ Finding modular functions for Ramanujan-type identities ⋮ On 5- and 10-dissections for some infinite products ⋮ VANISHING COEFFICIENTS IN FOUR QUOTIENTS OF INFINITE PRODUCT EXPANSIONS ⋮ Unnamed Item ⋮ A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\) ⋮ 5-dissections and sign patterns of Ramanujan's parameter and its companion ⋮ A continued fraction of Ramanujan and some Ramanujan-Weber class invariants ⋮ ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

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