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 On a general Hyers-Ulam stability of gamma functional equation Bull. Korean Math. Soc. 1997 Vol. 34, No. 3, 437-446 Soon-Mo Jung Hong-Ik University Abstract : In this paper, the Hyers-Ulam stability and the general Hyers-Ulam stability (more precisely, modified Hyers-Ulam-Rassias stability) of the gamma functional equation~(\ref{eq:three}) in the following settings $| f(x+1) - xf(x) | \leq \delta \;\;\;\mbox{ and }\;\;\; \left| \frac{f(x+1)}{xf(x)} - 1 \right| \leq \frac{\delta}{x^{1+\varepsilon}}$ shall be proved. Keywords : Hyers-Ulam stability, modified Hyers-Ulam-Rassias stability, gamma function MSC numbers : Primary 39B72, 39B22 Downloads: Full-text PDF