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| Titel: |
Use of the generalized Lommel-Wright function in a unified presentation of the Gamma-type functions occurring in diffraction theory and associated probability distributions |
| Auteur: |
Prieto, Ana Isolina Matera, Josefina Srivastava, H. M. |
| Verschenen in: |
Integral transforms and special functions |
| Paginering: | Jaargang 17 (2006) nr. 5 pagina's 365-378 |
| Jaar: |
2006-05-01 |
| Inhoud: |
Motivated essentially by their importance and usefulness in diffraction theory and probability distributions, several interesting generalizations of the Gamma-type functions were investigated extensively in recent years. In this sequel, to these earlier investigations on the subject, the authors present a systematic study of a unification and generalization of some of these Gamma-type functions, which is defined here by means of certain close relatives of the Fox-Wright hypergeometric function pΨq(z), including e.g., the generalized Lommel-Wright function [image omitted] . A probability density function associated with the generalized Gamma-type function investigated in this article, together with several other related results in the theory of probability and statistics, are also considered. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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