Sums of series of Rogers dilogarithm functions

DOI10.1007/s11139-007-9043-7zbMath1194.33023OpenAlexW2122793689MaRDI QIDQ987525

Abdolhossein Hoorfar, Feng Qi

Publication date: 13 August 2010

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

Full work available at URL: http://vuir.vu.edu.au/18001/1/dilogarithm.pdf

zbMATH Keywords

dilogarithm functionseriesidentitysumAbel's functional equationRogers dilogarithm function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other functions defined by series and integrals (33E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions, Integrals of polylogarithmic functions with negative argument, The reciprocal of the weighted geometric mean is a Stieltjes function

Cites Work

• Approximations to \(q\)-logarithms and \(q\)-dilogarithms, with applications to \(q\)-zeta values
• Algebraic dilogarithm identities
• Integration in finite terms with elementary functions and dilogarithms
• A bilinear form of dilogarithm and motivic regulator map
• Fermionic representations for characters of calM(3,t), calM(4,5), calM(5,6) and calM(6,7) minimal models and related dilogarithm and Rogers-Ramanujan-type identities
• Functional Identities for the Rogers Dilogarithm Associated to Cluster Y -Systems
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