Explicit evaluation of some integrals involving polylogarithm functions
نویسندگان
چکیده
منابع مشابه
Some Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions
A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...
متن کاملSome integrals involving generalized k-Struve functions
The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wright functions. Several special cases are deduced which lead to some known results.
متن کاملSome Definite Integrals Involving Algebraic, Trigonometric and Bessel Functions
Some defin ite analytic integrals involving algebraic, trigonometric and Bessel functions which are needed in some electromagnetic calculations are proposed. The mathematical expansions are based on Mathematica (Wolfram) software and on some well known formulas. The agreement between the present expansion results and the numerical evaluation results is excellent.
متن کاملEvaluation of some integrals of sums involving the Möbius function
Integrals of sums involving the Möbius function appear in a variety of problems. In this paper, a divergent integral related to several important properties of the Riemann zeta function is evaluated computationally. The order of magnitude of this integral appears to be compatible with the Riemann hypothesis, and furthermore the value of the multiplicative constant involved seems to be the small...
متن کاملOn Some Integrals Involving the Hurwitz Zeta
We establish a series of integral formulae involving the Hurwitz zeta function. Applications are given to integrals of Bernoulli polynomials, log Γ(q) and log sin(q).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2021
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2021.1935923