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Fixed Point Approach to the Stability of the Gamma Functional Equation

Soon-Mo Jung ()
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Soon-Mo Jung: Hongik University

Chapter Chapter 21 in Nonlinear Analysis, 2012, pp 353-361 from Springer

Abstract: Abstract The gamma function appears occasionally in the physical problems and applications. Especially, the gamma function is useful to develop other functions which have physical applications. It is well known that the gamma function satisfies the following functional equation f(x+1)=xf(x), and hence it is called the gamma functional equation. We will apply the fixed point method for proving the Hyers–Ulam–Rassias stability of the gamma functional equation.

Keywords: Fix points; Stability; Gamma functional equation; 65Q20; 49K40 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_21

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DOI: 10.1007/978-1-4614-3498-6_21

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