On Entry II.16.12: A continued fraction of Ramanujan

DOI10.1142/S1793042120400072zbMath1476.11014arXiv1908.03333OpenAlexW3049660140MaRDI QIDQ5857383

Gaurav Bhatnagar, Mourad E. H. Ismail

Publication date: 1 April 2021

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

Full work available at URL: https://arxiv.org/abs/1908.03333

zbMATH Keywords

orthogonal polynomialscontinued fractionsRamanujan's second notebookentry 12 of chapter 16

Mathematics Subject Classification ID

Continued fractions (11A55) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Continued fractions; complex-analytic aspects (30B70)

Cites Work

• Hypergeometric series and continued fractions
• Continued fractions with applications
• Domains of validity for some of Ramanujan's continued fraction formulas
• How to prove Ramanujan's $q$-continued fractions
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• Orthogonal polynomials
• Ramanujan's Lost Notebook
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