LOG-SINE AND LOG-COSINE INTEGRALS

• Journal title : Honam Mathematical Journal
• Volume 35, Issue 2,  2013, pp.137-146
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2013.35.2.137
Title & Authors
LOG-SINE AND LOG-COSINE INTEGRALS
Choi, Junesang;

Abstract
Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many different ways. The main object of this paper is to present explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta function.
Keywords
Beta function;Gamma function;Log-sine and log-cosine integrals;Harmonic numbers;Generalized harmonic numbers;Odd harmonic numbers;Generalized odd harmonic numbers;Riemann Zeta function;Hurwitz (or generalized) Zeta function;Psi (or Digamma) function;Polygamma functions;Euler-Mascheroni constant;
Language
English
Cited by
1.
FURTHER LOG-SINE AND LOG-COSINE INTEGRALS,;

충청수학회지, 2013. vol.26. 4, pp.769-780
1.
HARMONIC NUMBERS AT HALF INTEGER AND BINOMIAL SQUARED SUMS, Honam Mathematical Journal, 2016, 38, 2, 279
2.
Series representations for special functions and mathematical constants, The Ramanujan Journal, 2016, 40, 2, 291
3.
FURTHER LOG-SINE AND LOG-COSINE INTEGRALS, Journal of the Chungcheong Mathematical Society , 2013, 26, 4, 769
4.
Evaluation of log-tangent integrals by series involving ζ(2n+1), Integral Transforms and Special Functions, 2017, 28, 6, 460
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