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Acta Mathematica Vietnamica

THE GENERALIZED GAMMA FUNCTIONS

TRAN GIA LOC, TRINH DUC TAI

Abstract

In this paper, we introduce a way to generalize the Euler’s gamma function as well as some related special functions. With a given polynomial in one variable f(t)0, we can associate a function, so-called “gamma function associated with f”, defined by Γf(s):=0fs1etdt. This function has many features similar to the Euler’s gamma function. We also present some initial results on the gamma-type functional equation for Γf(s) in some special cases.

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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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