A Lagrangian method for indefinite q-integrals
Classical Analysis and ODEs
2022-05-11 v1 Functional Analysis
Abstract
A Lagrangian method is introduced recently for deriving indefinite integrals of special functions that satisfy homogeneous (nonhomogeneous) second-order linear differential equations. This paper extends this method to include indefinite Jackson -integrals of special functions satisfying homogeneous (nonhomogeneous) second-order linear -difference equations. Many -integrals, both previously known and completely new, are derived using the method. We introduce samples of indefinite and definite -integrals for Jackson's -Bessel functions, -hypergeometric functions, and some orthogonal polynomials.
Cite
@article{arxiv.2205.04867,
title = {A Lagrangian method for indefinite q-integrals},
author = {Gamela E. Heragy and Zeinab S. I. Mansour and Karima M. Orabya},
journal= {arXiv preprint arXiv:2205.04867},
year = {2022}
}