English

Extensions and results from a method for evaluating fractional integrals

Classical Analysis and ODEs 2009-09-25 v1

Abstract

We present a method derived from Laplace transform theory that enables the evaluation of fractional integrals. This method is adapted and extended in a variety of ways to demonstrate its utility in deriving alternative representations for other classes of integrals. We also use the method in conjunction with several different techniques to derive many results that have not appeared in tables of integrals.

Keywords

Cite

@article{arxiv.math/9411228,
  title  = {Extensions and results from a method for evaluating fractional integrals},
  author = {M. Lawrence Glasser and Victor Kowalenko},
  journal= {arXiv preprint arXiv:math/9411228},
  year   = {2009}
}