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

Kim, Yongsup

• Published : 2016.04.30
• 12 1

#### Abstract

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.

#### Keywords

Psi and polygamma functions;Hurwitz zeta function;hypergeometric function;generalized hypergeometric function;classical summation theorems

#### References

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