On the \(k\)-gamma \(q\)-distribution

DOI10.2478/S11533-010-0029-0zbMath1202.05012arXiv0909.2433OpenAlexW2078103544MaRDI QIDQ607421

Camilo Ortiz, Eddy Pariguan, Rafael E. Diaz

Publication date: 22 November 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2433

zbMATH Keywords

Mellin transformGamma distributionProchhammer \(k\)-symbolq-Calculus

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) (q)-calculus and related topics (05A30) Enumeration in graph theory (05C30)

Related Items (13)

Certain \(k\)-fractional calculus operators and image formulas of \(k\)-Struve function ⋮ Estimation parameters for the Binomial q-distribution ⋮ Unified approach to fractional calculus images involving the pathway transform of extended \(k\)-gamma function and applications ⋮ On some geometric results for generalized \(k\)-Bessel functions ⋮ Estimation parameters for the continuous \(q\)-distributions ⋮ Characterization Theorems for the B-q-Binomial and the q-Poisson Distributions ⋮ Integral transforms involving a generalized \(k\)-Bessel function ⋮ Unnamed Item ⋮ Contiguous function relations for \(k\)-hypergeometric functions ⋮ On characterizing the exponential \(q\)-distribution ⋮ Unnamed Item ⋮ A generalized Euler probability distribution ⋮ Solutions of \(k\)-hypergeometric differential equations

Cites Work

• Super, quantum and non-commutative species.
• On the Gaussian \(q\)-distribution
• Stirling polynomials
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• q,k-Generalized Gamma and Beta Functions
• Quantum calculus
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