Published 2022-01-15
DOI:
https://doi.org/10.71712/Keywords
- Definite integrals,
- improper integrals,
- exponential generating functions,
- integral evalution,
- infinite series
- central binomial coefficients ...More
Copyright (c) 2024 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Stewart, S. M. (2022). Using exponential generating functions to evaluate definite integrals. Scientia Series A: Mathematical Sciences, 32, 99-133. https://doi.org/10.71712/
Abstract
Numerous examples where various types of de nite integrals evaluated
using a technique exploiting exponential generating functions are presented.
We show how some classically famous but tricky integrals can be readily found
using such an approach. Brief historical remarks on some of the more notable
integrals considered are made. Application of some of the integrals found to a
class of classically important series containing the central binomial coecients
are given.
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