Yazar "Saad, Husam Luti" için listeleme
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Application of the operator φ ((a,b,c@d,e); q,ƒDq) for the polynomials Yn(a, b, c; d, e; x, y|q)
Saad, Husam Luti; Jaber, Rasha Hadi (Işık University Press, 2022)In this paper, we construct the exponential operator φ((a,b,c@d,e); q,ƒDq) that has five parameters a, b, c, d, e and we define a more general polynomials Yn(a, b, c; d, e; x, y|q), in which case, the bivariate Rogers-Szeg¨o ... -
Applications of the generalized homogeneous q-shift operator in q-polynomials
Adnan Abdul-Ghani, Samaher; Saad, Husam Luti (Işık University Press, 2024-04)In this paper, we construct the generalized homogeneous q-shift operatör r?s ( a1, · · · , ar b1, · · · , bs ; q, cDxy). Then, we apply this operator to derive some q-identities such as: the generating function and its ... -
Applications of the operator r?s in q-polynomials
Saad, Husam Luti; Hassan, Hassan J. (Işık University Press, 2023-04)We establish r?s as a general operator for many q-operators. A new polynomials hn(a1, · · · , ar; b1, · · · , bs; x, y; q) are described as an extension of the bivariate Rogers-Szegö polynomial hn(x, y|q) and the generalized ... -
Generalized q-difference equation for the generalized q-operator r?s(Dq) and its applications in q-integrals
Reshem, Faiz Agel; Saad, Husam Luti (Işık University Press, 2024-04)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] ... -
The homogeneous q-difference operator and the related polynomials
Saad, Husam Luti; Abdalwahid Arif, Mahmood (Işık University Press, 2023-10)We create the homogeneous q-difference operator Ee(a, b; ?) as an extension of the exponential operator E(b?). A new polynomials hn(a, b, x|q?1) are defined as an extension of the q?1-Rogers-Szegö polynomial hn(a, b|q?1). ...
