Hypergeometric series and continued fractions

DOI10.1007/BF02837830zbMath0659.10010MaRDI QIDQ1112085

K. G. Ramanathan

Publication date: 1987

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriescontinued fractionsRamanujan's evaluation

Mathematics Subject Classification ID

Continued fractions (11A55) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (12)

Explicit evaluation formula for Ramanujan's singular moduli and Ramanujan-Selberg continued fractions ⋮ Modular relations and explicit values of Ramanujan-Selberg continued fractions ⋮ Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity ⋮ Some new explicit values of Ramanujan-Selberg continued fraction ⋮ A simple algorithm for expanding a power series as a continued fraction ⋮ Two theta-function identities for the Ramanujan-Selberg continued fraction and applications ⋮ Modular forms and Eisenstein's continued fractions ⋮ Notes on Euler's work on divergent factorial series and their associated continued fractions ⋮ Analytical representations for the basic affine jump diffusion ⋮ Unnamed Item ⋮ Orthogonal polynomials associated with complementary chain sequences ⋮ On Entry II.16.12: A continued fraction of Ramanujan

Cites Work

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• Ramanujan's continued fraction
• Chapter 12 of Ramanujan's second notebook: Continued fractions
• On the q-analog of Kummer's theorem and applications
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• Theq-Gamma andq-Beta Functions†
• An Introduction to Ramanujan's "lost" Notebook

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