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- W2968100970 abstract "In this paper, we first construct the homogeneous $q$-shift operator $widetilde{E}(a,b;D_{q})$ and the homogeneous $q$-difference operator $widetilde{L}(a,b; theta_{xy})$. We then apply these operators in order to represent and investigate generalized Cauchy and a general form of Hahn polynomials. We derive some $q$-identities such as: generating functions, extended generating functions, Mehler's formula and Roger's formula for these $q$-polynomials." @default.
- W2968100970 created "2019-08-22" @default.
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- W2968100970 date "2019-01-01" @default.
- W2968100970 modified "2023-10-18" @default.
- W2968100970 title "Some homogeneous q-difference operators and the associated generalized Hahn polynomials" @default.
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- W2968100970 doi "https://doi.org/10.23952/asvao.1.2019.2.07" @default.
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