On the k-gamma q-distribution

• Autorzy: Rafael Díaz , Camilo Ortiz , Eddy Pariguan
• Języki publikacji: EN

Abstrakty

EN

We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.

Słowa kluczowe

EN

q-Calculus; Gamma distribution; q-combinatorics

Kategorie tematyczne

• 05C30: Enumeration in graph theory
• 05A30: q -calculus and related topics
• 60E05: Distributions: general theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 3
• Strony: 448-458

Daty

wydano

2010-06-01

online

2010-05-30

Twórcy

autor

Rafael Díaz

• Universidad Sergio Arboleda

autor

Camilo Ortiz

• Pontificia Universidad Javeriana

autor

Eddy Pariguan

• Pontificia Universidad Javeriana

Bibliografia

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• [6] Díaz R., Pariguan E., On the Gaussian q-distribution, J. Math. Anal. Appl., 2009, 358, 1–9 http://dx.doi.org/10.1016/j.jmaa.2009.04.046
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• [11] Kokologiannaki C.G., Properties and Inequalities of Generalized k-Gamma, Beta and Zeta Functions, Int. J. Contemp. Math. Sciences, 2010, 5, 653–660
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• [14] Zeilberger D., Enumerative and Algebraic Combinatorics, In: Gowers T. (Ed.), The Princeton Companion to Mathematics, Princeton University Press, Princeton, 2008

Identyfikatory

DOI

10.2478/s11533-010-0029-0