ON 3 TRIGONOMETRIC INTEGRALS OF IN GAMMA(X) OR ITS DERIVATIVE

[摘要] Three definite integrals of products of ln Gamma (x) or psi (x) with trigonometric functions have been wrongly believed to be zero for nearly a century and are given in this form even in the most recent tables. A simple result is given for one of these integrals, the result for the two others being expressible in terms of an infinite series.

[发布日期] 1994-09-20

[关键词] DEFINITE INTEGRALS;GAMMA FUNCTION;PSI FUNCTION