Some generating functions for q-polynomials
Demonstrating the striking symmetry between calculus and -calculus, we obtain -analogues of the Bateman, Pasternack, Sylvester, and Cesàro polynomials. Using these, we also obtain q-analogues for some of their generating functions. Our q-generating functions are given in terms of the basic hypergeom...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad Loyola Andalucía |
| Repositorio: | Brújula |
| OAI Identifier: | oai:repositorio.uloyola.es:20.500.12412/6995 |
| Acceso en línea: | https://hdl.handle.net/20.500.12412/6995 |
| Access Level: | acceso abierto |
| Palabra clave: | Basic hypergeometric functions Generating functions Q-polynomials |
| Sumario: | Demonstrating the striking symmetry between calculus and -calculus, we obtain -analogues of the Bateman, Pasternack, Sylvester, and Cesàro polynomials. Using these, we also obtain q-analogues for some of their generating functions. Our q-generating functions are given in terms of the basic hypergeometric series and q-Pochhammer symbols. Starting with our q-generating functions, we are also able to find some new classical generating functions for the Pasternack and Bateman polynomials |
|---|