"An Efficient Method for Indefinite q-Integrals" by Gamela E. Heragy, Zeinab S. I. Mansour et al.

Progress in Fractional Differentiation & Applications

Article Title

An Efficient Method for Indefinite q-Integrals

Authors

Gamela E. Heragy, Mathematics and Computer Science Department, Faculty of Science, Suez University, Suez, EgyptFollow
Zeinab S. I. Mansour, Mathematics Department, Faculty of Science, Cairo University, Giza, EgyptFollow
Karima M. Oraby, Mathematics and Computer Science Department, Faculty of Science, Suez University, Suez, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

A method has been 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 q-integrals of special functions satisfying homogeneous (nonhomogeneous) second-order linear q-difference equations. Many q-integrals, both previously known and completely new, are derived using the method. We introduce samples of indefinite and definite q-integrals for Jackson’s q-Bessel functions, q-hypergeometric functions, and some orthogonal polynomials.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090309

Recommended Citation

E. Heragy, Gamela; S. I. Mansour, Zeinab; and M. Oraby, Karima (2023) "An Efficient Method for Indefinite q-Integrals," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 3, Article 9.
DOI: http://dx.doi.org/10.18576/pfda/090309
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/9

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