ON THE SERIES EXPANSION OF THE GÖLLNITZ–GORDON CONTINUED FRACTION

DOI10.1142/S1793042105000030zbMath1140.11305OpenAlexW2101544726MaRDI QIDQ5316934

Sin-Da Chen, Sen-Shan Huang

Publication date: 15 September 2005

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042105000030

zbMATH Keywords

partitionRogers-Ramanujan continued fractionJacobi's triple product identitycolored partitionEuler's identityGöllnitz-Gordon continued fraction

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Continued fractions (11A55)

Related Items (5)

Vanishing coefficients in three families of products of theta functions ⋮ Vanishing coefficients in powers of theta functions with odd moduli ⋮ On 5- and 10-dissections for some infinite products ⋮ Vanishing coefficients in two families of quotients of theta functions ⋮ ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE

Cites Work

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• On the Ramanujan-Göllnitz-Gordon continued fraction
• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• On modular relations for the Göllnitz-Gordon functions with application to partitions
• On the expansion of a continued fraction of Gordon
• New modular relations for the Göllnitz-Gordon functions.
• Some continued fractions of the Rogers-Ramanujan type
• On some infinite product identities

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