The homogeneous q-difference operator and the related polynomials
Künye
Saad, H. L. & Abdalwahid Arif, M. (2023). The homogeneous q-difference operator and the related polynomials. TWMS Journal Of Applied And Engineering Mathematics, 13(4), 1537-1550.Özet
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). We provide an operator proof of the generating function and its extension, Rogers formula and the invers linearization formula, and Mehler’s formula for the polynomials hn(a, b|q?1). The generating function and its extension, Rogers formula and the invers linearization formula, and Mehler’s formula for the polynomials hn(a, b|q?1) are deduced by giving special values to parameters of a new polynomial hn(a, b, x|q?1).
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13Sayı
4Bağlantı
http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5734http://jaem.isikun.edu.tr/web/index.php/current/122-vol13no4/1135
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