| Communications in Mathematics |
Anthony Sofo - Integrals of logarithmic and hypergeometric functions
cm:9448 - Communications in Mathematics, August 20, 2016, Volume 24 (2016), Issue 1 - https://doi.org/10.1515/cm-2016-0002Integrals of logarithmic and hypergeometric functionsArticle
- 1 Victoria University [Melbourne]
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.
Source: HAL:hal-03664925v1
Volume: Volume 24 (2016), Issue 1
Published on: August 20, 2016
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]
Classifications
Mathematics Subject Classification 20201
- 05A10 - Factorials, binomial coefficients, combinatorial functions
- 05A19 - Combinatorial identities, bijective combinatorics
- 11B83 - Special sequences and polynomials
- 11M06 - \(\zeta (s)\) and \(L(s, \chi)\)
- 11Y60 - Evaluation of number-theoretic constants
- 33C20 - Generalized hypergeometric series, \({}_pF_q\)
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