On some properties of the generalized Mittag-Leffler function

ABSTRACT: This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases ar...

Descripción completa

Detalles Bibliográficos
Autores principales: Khan, Mumtaz Ahmad, Ahmed, Shakeel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2013
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3765609/
https://www.ncbi.nlm.nih.gov/pubmed/24024085
http://dx.doi.org/10.1186/2193-1801-2-337
Descripción
Sumario:ABSTRACT: This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function and Laguerre polynomials is also established. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 33C45, 47G20, 26A33.

Ejemplares similares