An extension of Sheffer polynomials. (English) Zbl 1247.33025
Proyecciones 30, No. 2, 265-275 (2011); corrigendum ibid. 36, No. 3, 1-3 (2017).
Summary: I. M. Sheffer [Duke Math. J. 5, 590-622 (1939; Zbl 0022.01502; JFM 65.0366.01)] studied polynomial sets of zero type and many authors investigated various properties and its applications. In the sequel to the study of Sheffer polynomials, an attempt is made to generalize the Sheffer polynomials by using a partial differential operator.
MSC:
| 33C65 | Appell, Horn and Lauricella functions |
| 33F99 | Computational aspects of special functions |
| 44A45 | Classical operational calculus |
| 46G25 | (Spaces of) multilinear mappings, polynomials |
