New \(q\)-derivative and \(q\)-logarithm

DOI10.1007/BF00675167zbMath0867.33010OpenAlexW1675829976MaRDI QIDQ1345410

Hye-Jung Kang, Won-Sang Chung, Ki-Soo Chung, Sang-Tack Nam

Publication date: 6 March 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00675167

zbMATH Keywords

logarithmic

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Additive difference equations (39A10) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (13)

\(q\)-completely monotonic and \(q\)-Bernstein functions ⋮ Spectral properties and a Parseval's equality in the singular case for \(q\)-Dirac problem ⋮ On a $q$-analogue of the Sturm-Liouville operator with discontinuity conditions ⋮ ON A q-BOUNDARY VALUE PROBLEM WITH DISCONTINUITY CONDITIONS ⋮ Estimation parameters for the Binomial q-distribution ⋮ Characterization Theorems for the B-q-Binomial and the q-Poisson Distributions ⋮ Expansions in terms of \(q\)-Laguerre heat polynomials ⋮ On \(q\)-dynamic equations modelling and complexity ⋮ On characterizing the exponential \(q\)-distribution ⋮ Unnamed Item ⋮ Leonhard Euler and a 𝑞-analogue of the logarithm ⋮ A Method for q-Calculus ⋮ Titchmarsh–Weyl theory for q-Dirac systems

Cites Work

• Unnamed Item
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum difference nonlinear Schrödinger equation
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Expansions over the ‘‘squared’’ solutions and difference evolution equations
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• A q-analogue of Bargmann space and its scalar product
• 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)
• A completeness relation for the q-analogue coherent states by q-integration
• Hilbert spaces of analytic functions and generalized coherent states
• BASIC INTEGRATION

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