1 citations · 1 across the 8 of their papers we have counts for
8 papers · 1 filter
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.