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NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION AND THE LOGARITHMIC FUNCTION

  • Kim, Yongsup (Department of Mathematics Education Wonkwang University)
  • 투고 : 2015.07.06
  • 발행 : 2016.04.30

초록

Motivated essentially by Brychkov's work [1], we evaluate some new integrals involving hypergeometric function and the logarithmic function (including those obtained by Brychkov[1], Choi and Rathie [3]), which are expressed explicitly in terms of Gamma, Psi and Hurwitz zeta functions suitable for numerical computations.

키워드

참고문헌

  1. Y. A. Brychkov, Evaluation of some classes of definite and indefinite integrals, Integral Transforms Spec. Funct. 13 (2002), no. 2, 163-167. https://doi.org/10.1080/10652460212896
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  3. J. Choi and A. K. Rathie, Evaluation of certain new class of definite integrals, Integral Transforms Spec. Funct. 26 (2015), no. 4, 282-294. https://doi.org/10.1080/10652469.2014.1001385
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