In this manuscript, the authors derive closed formula for definite integrals of combinations of powers and logarithmic functions of complicated arguments and express these integrals in terms of the Hurwitz zeta functions. These derivations are then expressed in terms of fundamental constants, elementary, and special functions. A summary of the results is produced in the form of a table of definite integrals for easy referencing by readers
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. I...
Abstract. A remarkably large number of integral formulas have been investigated and developed. Certa...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
A class of definite integrals involving cyclotomic polynomials and nested logarithms is considered. ...
It is shown in this paper, by making use of contour integration and the Cauchy integral theorem, tha...
It is shown in this paper, by making use of contour integration and the Cauchy integral theorem, tha...
This paper gives new integrals related to a class of special functions. This paper also showcases th...
Several families of definite integrals involving the tangent or secant function have been evaluated ...
We address the problem of finding out the values of the Hurwitz zeta function at the positive intege...
summary:Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler...
International audienceWe give various contributions to the theory of Hurwitz zeta-function. An eleme...
The functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for derivati...
We present a method using contour integration to derive definite integrals and their associated infi...
AbstractThe functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for ...
This is a collection of definite integrals involving the logarithmic and polynomial functions in ter...
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. I...
Abstract. A remarkably large number of integral formulas have been investigated and developed. Certa...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
A class of definite integrals involving cyclotomic polynomials and nested logarithms is considered. ...
It is shown in this paper, by making use of contour integration and the Cauchy integral theorem, tha...
It is shown in this paper, by making use of contour integration and the Cauchy integral theorem, tha...
This paper gives new integrals related to a class of special functions. This paper also showcases th...
Several families of definite integrals involving the tangent or secant function have been evaluated ...
We address the problem of finding out the values of the Hurwitz zeta function at the positive intege...
summary:Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler...
International audienceWe give various contributions to the theory of Hurwitz zeta-function. An eleme...
The functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for derivati...
We present a method using contour integration to derive definite integrals and their associated infi...
AbstractThe functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for ...
This is a collection of definite integrals involving the logarithmic and polynomial functions in ter...
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. I...
Abstract. A remarkably large number of integral formulas have been investigated and developed. Certa...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...