R. Reynolds

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20232025

most citedDerivation of some definite integrals

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

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math.GM2025

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…

math.GM2025

Double and single integrals of the Mittag-Leffler Function: Derivation and Evaluation

Robert Reynolds

One-dimensional and two-dimensional integrals containing $E_{b} (- u)$ and $E_{α, β} (δ x^{γ})$ are considered. $E_{b} (- u)$ is the Mittag-Leffler function and the integral is tak…

math.GM2025

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 $J_{u} (a z)$ $J_{v}(b z)…