Convergence of the Rogers-Ramanujan continued fraction

DOI10.1070/SM2003v194n06ABEH000741zbMath1067.30007MaRDI QIDQ4658208

Viktor I. Buslaev

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

continued fractionconvergence of continued fractionRogers-Ramanujan functionregular C-fraction

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Padé approximation (41A21) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)

Related Items (6)

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals ⋮ Reflections on the Baker–Gammel–Wills (Padé) Conjecture ⋮ Exact interpolation, spurious poles, and uniform convergence of multipoint Padé approximants ⋮ On Weyl products and uniform distribution modulo one ⋮ On uniform convergence of diagonal multipoint Padé approximants for entire functions ⋮ On Baker's patchwork conjecture for diagonal Padé approximants

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