On the expansion of a continued fraction of Gordon

DOI10.1023/A:1013939720688zbMath0993.30003OpenAlexW122926215MaRDI QIDQ1597191

Michael D. Hirschhorn

Publication date: 12 May 2002

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

Full work available at URL: https://doi.org/10.1023/a:1013939720688

zbMATH Keywords

power series expansionperiodicity of sign of coefficientsJacobi's triple productGordon's continued fraction

Mathematics Subject Classification ID

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

Related Items (14)

The 5-dissections of two infinite product expansions ⋮ THE 8-DISSECTION OF THE RAMANUJAN–GÖLLNITZ–GORDON CONTINUED FRACTION BY AN ITERATIVE METHOD ⋮ ON THE SERIES EXPANSION OF THE GÖLLNITZ–GORDON CONTINUED FRACTION ⋮ Vanishing coefficients in quotients of theta functions with odd moduli ⋮ On the infinite Borwein product raised to a positive real power ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Vanishing coefficients in powers of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions. II ⋮ On 2- and 4-dissections for some infinite products ⋮ 4-dissections and 8-dissections for some infinite products ⋮ Finding modular functions for Ramanujan-type identities ⋮ 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

This page was built for publication: On the expansion of a continued fraction of Gordon