Generalized q-difference equation for the generalized q-operator rφs(Dq) and its applications in q-integrals
Künye
Reshem, F. A. & Saad, H. L. (2024). Generalized q-difference equation for the generalized q-operator rφs(Dq) and its applications in q-integrals. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 756-774.Özet
In 2014, Fang [12] discovered a general q-exponential operator identity by solving a q-difference equation. Fang [12] developed some generalizations of q-integrals using this q-difference equation. Reshem and Saad [20] presented the solution to a generalized q-difference equation in q-operator form, which is a generalization of Fang’s work [12]. Using the q-difference equation technique, Reshem and Saad [20] discussed some properties of q-polynomials. In this paper, the generalized q-difference equation technique is used to generalize some well-known integrals such as fractional q-integrals, the q-Barnes contour integral, and Ramanujan q-integrals.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
14Sayı
2Bağlantı
https://hdl.handle.net/11729/5966https://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1212
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