Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions

From MaRDI portal
Publication:1340530

DOI10.1006/jmaa.1994.1339zbMath0809.33008OpenAlexW2125861649MaRDI QIDQ1340530

V. Pereyra

Publication date: 23 January 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1339




Related Items (28)

Expansion and asymptotic in terms of basic Bessel functionsMonotonic functions related to the \(q\)-gamma functionq-Analogues of Laplace and Borel transforms by means of q-exponentialsOscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point processThe Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate caseTwo-sided inequality involving the \(q\)-gamma functionInequalities for series in \(q\)-shifted factorials and \(q\)-gamma functionsOn the logarithmic energy of points on \(\mathbb{S}^2\)Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear gridStationary measure for the open KPZ equationSome recent progress on the stationary measure for the open KPZ equationA completely monotonic function involving \(q\)-gamma and \(q\)-digamma functionsInequalities related to the third Jackson \(q\)-Bessel function of order zeroMultiple gamma function, its \(q\)- and elliptic analogue.\(q\)-deformations of two-dimensional Yang-Mills theory: classification, categorification and refinementScaled asymptotics for some \(q\)-functionsOn basic Fourier-Bessel expansionsSome new formulas involving \(\Gamma_q\) functionsAn infinite class of completely monotonic functions involving the \(q\)-gamma functionOn a family of integrals that extend the Askey-Wilson integralAsymptotic formulae for eigenvalues and eigenfunctions of q -Sturm-Liouville problemsOn the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transformsOn a connection between formulas about q–gamma functionsSpectral functions of zeros in the Bessel \(q\)-functionsInterpolation of entire functions, product formula for basic sine functionWavelet Transforms in Quantum CalculusConvergence aspects for generalizations of \(q\)-hypergeometric functionsq-Littlewood-Paley g-function






This page was built for publication: Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions