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An Efficient Method for Indefinite q-Integrals |
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PP: 443-471 |
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doi:10.18576/pfda/090309
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Author(s) |
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Gamela E. Heragy,
Zeinab S. I. Mansour,
Karima M. Oraby,
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Abstract |
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| 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.
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