On the functional equations of the q-Gamma function

Mahmoud, Mansour

doi:10.1007/s00010-014-0291-5

Aequat. Math.

2014

DOI: 10.1007/s00010-014-0291-5

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On the functional equations of the q-Gamma function

Mansour Mahmoud

Abstract: In this paper, we present some characterizations of the q-gamma function by some functional equations using E. Artin's technique.Mathematics Subject Classification. 33D05, 65Q20.

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Cited by 2 publications

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On a connection between formulas about q–gamma functions

Koepf¹,

Rajković²,

Marinković³

2021

JNMP

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In this short communication, we want to pay attention to a few wrong formulas which are unfortunately cited and used in a dozen papers afterwards. We prove that the provided relations and asymptotic expansion about the q-gamma function are not correct. This is illustrated by numerous concrete counterexamples. The error came from the wrong assumption about the existence of a parameter which does not depend on anything. Here, we apply a similar procedure and derive a correct formula for the q-gamma function.

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On a connection between formulas about q–gamma functions

Koepf¹,

Rajković²,

Marinković³

2021

JNMP

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Hermite's formula for q-gamma function

Mahmoud¹,

Agarwal²

2016

Mathematical Inequalities &Amp; Applications

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On the functional equations of the q-Gamma function

Abstract: In this paper, we present some characterizations of the q-gamma function by some functional equations using E. Artin's technique.Mathematics Subject Classification. 33D05, 65Q20.

Cited by 2 publications

References 16 publications

On a connection between formulas about q–gamma functions

On a connection between formulas about q–gamma functions

Hermite's formula for q-gamma function

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