Definite integrals and operational methods

TL;DR

This paper introduces an operator-based method to evaluate a wide range of integrals, offering a flexible approach that advances the theory of special functions and generalizes existing theorems.

Contribution

It presents a novel operatorial technique that generalizes the Ramanujan master theorem for integral evaluation, expanding the toolkit for special function analysis.

Findings

New integral evaluation formulas derived using the operator method

The method unifies and extends existing integral techniques

Enhanced understanding of special functions through the operator approach

Abstract

An operatorial method, already employed to formulate a generalization of the Ramanujan master theorem, is applied to the evaluation of integrals of various type. This technique provide a very flexible and powerful tool yielding new results encompassing various aspects of the special function theory.