Indefinite q-integrals of quotients of q-hypergeometric functions

تاريخ النشر

20/04/2023 12:00:00 ص

95

المؤلفون

Gamela E. Heragy , Zeinab S. I. Mansour and Karima M. Oraby

الوصف

This paper uses Heine contiguous relations for the basic hypergeometric function 2𝜙1, the 𝑞-integrating factor method for solving linear first order 𝑞-difference equations and an indefinite 𝑞-integral formula involving two arbitrary functions to derive indefinite 𝑞-integrals involving quotients of the hypergeometric functions 2𝜙1.

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DOI

الملخص

الكلمات الدالة

Jackson’s 𝑞-integrals, 𝑞-hypergeometric function, Heine 𝑞-contiguous relations.