Series representations for special functions and mathematical constants
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Publication:282988
DOI10.1007/s11139-015-9679-7zbMath1416.33001OpenAlexW2054273528MaRDI QIDQ282988
Horst Alzer, Kendall C. Richards
Publication date: 13 May 2016
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-015-9679-7
(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Higher logarithm functions (33B30) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Exponential and trigonometric functions (33B10)
Related Items
The Riemann zeta function and classes of infinite series, A family of polylog-trigonometric integrals, Two parameterized series representations for the digamma function, On generalized complete \((p, q)\)-elliptic integrals, Several series identities involving the Catalan numbers
Cites Work
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- Series representations for \(\gamma\) and other mathematical constants
- Series and product representations for some mathematical constants
- An Eulerian method for representing \(\pi{}^ 2\) by series
- A class of series acceleration formulae for Catalan's constant
- The quest for pi
- Series representations in the spirit of Ramanujan
- Series representations for some mathematical constants
- LOG-SINE AND LOG-COSINE INTEGRALS
- On an Intriguing Integral and Some Series Related to ζ(4)
- Series representation of the Riemann zeta function and other results: Complements to a paper of Crandall
- New integral representations of the polylogarithm function
