We consider some fundamental generalized Mordell–Tornheim–Witten (MTW) zeta-function
values along with their derivatives, and explore connections with multiple-zeta values …

Stimulated by earlier work by Moll and his coworkers (Amdeberhan et al., Proc. Am. Math.
Soc., 139 (2): 535–545, 2010), we evaluate various basic log Gamma integrals in terms of …

We generalize the Raabe-formula to the q-loggamma function by giving an integral formula
for logΓq when q> 1. As a consequence, we get that the integral of the logarithm of the fourth …

Numerous examples where various types of definite integrals evaluated using a technique
exploiting exponential generating functions are presented. We show how some classically …

In this paper, we study the sequences I_n= ∫ _0^ 1 Li _n (\sin π x) dx\quad and\quad J_n=
∫ _0^ 1 Li _n (\cos π x) dx, I n=∫ 0 1 Li n (sin π x) dx and J n=∫ 0 1 Li n (cos π x) dx, where …

Some new integrals involving Page 1 Some trigonometric integrals involving log ( )x Γ and the
digamma function Donal F. Connon dconnon@btopenworld.com 19 May 2010 Abstract This …

We solve problem x proposed by O. Oloa, AMM xxx 2012 {\bf 119?}(to appear), p. yyy for
certain definite logarithmic integrals. A number of generating functions are developed with …

182 THE MATHEMATICAL GAZETTE is really a book on advanced techniques for
evaluating definite integrals. GH Hardy famously said he could never resist the challenge of …

International Journal of Applied Mathematics ————————————————————–
Volume 26 No. 4 201 Page 1 International Journal of Applied Mathematics …

Let n1, n2, n3 be positive integers with gcd (n1, n2, n3)= 1. For S=〈 n1, n2, n3〉
nonsymmetric, we give an alternative description, using elementary techniques, of a minimal …