1 citations · 1 across the 8 of their papers we have counts for
8 papers
Infinite integrals in terms of series
Robert Reynolds
In this work we derive and evaluate some infinite integrals involving the product of a generalized logarithm and polynomial functions in the denominator. These integrals are expres…
Double and single integrals of the Mittag-Leffler Function: Derivation and Evaluation
Robert Reynolds
One-dimensional and two-dimensional integrals containing and are considered. is the Mittag-Leffler function and the integral is tak…
Definite integrals involving Bessel functions expressed as a series of special functions
Robert Reynolds
Series involving hypergeometric functions are used to derive, extend and evaluate integrals involving the product of two Bessel functions of the first kind $J_{v}(b z)…
Derivation of some definite integrals
Robert Reynolds
In this work derivations of definite integrals listed in Prudnikov volume I, Gradshteyn and Ryzhik and a few other tables are produced. Special cases of these integrals in terms of…
A note on the Hurwitz-Lerch zeta function
Robert Reynolds
In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta funct…
A short note on a definite integral of a general form
Robert Reynolds
In this note we derive some interesting definite integrals involving Malmsten logarithm forms, reciprocal logarithm forms and Kölbig type integrals in terms of special functions.
An extended Cauchy integral
Robert Reynolds
A new integral representation is derived using a definite integral given by Cauchy and used to evaluate a number of integrals containing the finite series of special functions.
A collection of integrals, products and series
Robert Reynolds
This is a conspectus of definite integrals, products and series. These formulae involve special functions in the integrand and summand functions and closed form solutions. Some of…