A continued fraction of order twelve

DOI10.2478/s11533-008-0031-yzbMath1176.33020OpenAlexW2155804742MaRDI QIDQ944040

K. Shivashankara, B. N. Dharmendra, Megadahalli S. Mahadeva Naika

Publication date: 12 September 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-008-0031-y

zbMATH Keywords

continued fractionreciprocity theoremmodular equation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Continued fractions (11A55)

Related Items

THE LEVEL 12 ANALOGUE OF RAMANUJAN’S FUNCTION ⋮ The evaluation of two-dimensional lattice sums via Ramanujan's theta functions ⋮ Unnamed Item ⋮ \(P\)-\(Q\) ``mixed modular equations of degree 15 ⋮ Unnamed Item ⋮ A continued fraction of order twelve as a modular function ⋮ Some new explicit values of quotients of Ramanujan's theta functions and continued fractions ⋮ Modular equations of a continued fraction of order six ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a continued fraction of order twelve and new Eisenstein series identities ⋮ ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE

Cites Work

• Domains of validity for some of Ramanujan's continued fraction formulas
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
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