q-exponential and q-gamma functions. I. q-exponential functionsa)

DOI10.1063/1.531322zbMath0831.33009OpenAlexW2090405567MaRDI QIDQ4837369

D. S. McAnally

Publication date: 3 July 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531322

zbMATH Keywords

\(q\)-gamma functions

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (12)

Fractional \(q\)-symmetric calculus on a time scale ⋮ A new algorithm for solving dynamic equations on a time scale ⋮ q-exponential and q-gamma functions. II. q-gamma functionsa) ⋮ Generalized probability functions ⋮ Symmetric \(q\)-extension of \(\lambda\)-Apostol-Euler polynomials via umbral calculus ⋮ Improved \(q\)-exponential and \(q\)-trigonometric functions ⋮ A family of nonextensive entropies ⋮ Symmetric \(q\)-Bernoulli numbers and polynomials ⋮ Fractional q-Calculus on a time scale ⋮ Some new sums of q-trigonometric and related functions through a theta product of Jacobi ⋮ Braided structure of fractional \(\mathbb Z_3\)-supersymmetry ⋮ Bargmann Representations for Deformed Harmonic Oscillators

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum Lie superalgebras and q-oscillators
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• A q-analogue of Bargmann space and its scalar product
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• On the polar decomposition of the quantum SU(2) algebra
• Comment on the q-analogues of the harmonic oscillator

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