Applications of the Generalized Kummer’s Summation Theorem to Transformation Formulas and Generating Functions
- Autores: Ahmed Ali Atash, Hussein Saleh Belleha
- Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 2, 2018, págs. 331-338
- Idioma: inglés
- DOI: 10.21042/amns.2018.2.00026
- Enlaces
-
Resumen
In this paper, we establish two general transformation formulas for Exton’s quadruple hypergeometric functions K5 and K12 by application of the generalized Kummer’s summation theorem. Further, a number of generating functions for Jacobi polynomials are also derived as an applications of our main results.
¿Es nuevo? Regístrese
Ventajas de registrarse
