Notes on stability of the generalized gamma functional equation
Gwang Hui Kim,1Bing Xu,2and Weinian Zhang2
Received17 Dec 2001
Abstract
The Hyers-Ulam stability in three senses is discussed by Kim
(2001) for the generalized gamma functional equation
g(x+p)=a(x)g(x) under some conditions which involve convergence
of complicated series. In this note, those conditions are
simplified to be checked easily and more interesting examples
other than the classical gamma functional equation are displayed.