A Generalization of the Euler Gamma Function |
| |
Authors: | M Spreafico |
| |
Institution: | (1) ICMC, Universidade de Sao Paulo, Sao Paulo, Brazil |
| |
Abstract: | We define a generalized Euler gamma function Λβ(z), where the product is taken over powers of integers rather than integers themselves. Studying the associated spectral functions and in particular the zeta function, we obtain the main properties of Λβ(z) and its asymptotic expansion for large values of the argument.__________Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 39, No. 2, pp. 87–91, 2005Original Russian Text Copyright © by M. Spreafico |
| |
Keywords: | Euler gamma function spectral function asymptotic expansion |
本文献已被 SpringerLink 等数据库收录! |
|