Name
Abstract | ||
|---|---|---|
We derive the connection relations between three q-Taylor polynomial bases. We also derive the connection relations between two of these bases and the continuous q-Hermite polynomials, as well as several new generating functions for the continuous q-Hermite polynomials. Our results also lead to some new integral evaluations. Using one of these connection relations, we give a new proof of a general addition theorem of Suslov for the q-exponential function Eq of Ismail and Zhang. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.aam.2020.102015 | Advances in Applied Mathematics |
Keywords | DocType | Volume |
33D15,33D45,33Dxx,41Axx | Journal | 117 |
ISSN | Citations | PageRank |
0196-8858 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mourad E. H. Ismail | 1 | 75 | 25.95 |
| Plamen Simeonov | 2 | 42 | 9.49 |