
doi: 10.1007/bf01761501
Several characterizations are given for the wellknown Appell polynomials and for their basic analogues: the ℊ-Appell polynomials defined by Equation (3.3)below. The main results contained in Theorems 1, 2and 3of the present paper, and the applications considered in Section 2,are believed to be new. Some interesting connections with earlier results are also indicated.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Appell and q-Appell polynomials, Classical hypergeometric functions, \({}_2F_1\)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Appell and q-Appell polynomials, Classical hypergeometric functions, \({}_2F_1\)
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