تاريخ النشر
07/01/2023 12:00:00 ص
93
Gamela E. Heragy , Zeinab S. I. Mansour and Karima M. Oraby
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.
Indefinite q-integrals, q-special functions, Jackson q- Bessel functions, q-hypergeometric functions