Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
From MaRDI portal
Publication:1340530
DOI10.1006/jmaa.1994.1339zbMath0809.33008OpenAlexW2125861649MaRDI QIDQ1340530
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
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)
Related Items (28)
Expansion and asymptotic in terms of basic Bessel functions ⋮ Monotonic functions related to the \(q\)-gamma function ⋮ q-Analogues of Laplace and Borel transforms by means of q-exponentials ⋮ Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process ⋮ The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case ⋮ Two-sided inequality involving the \(q\)-gamma function ⋮ Inequalities for series in \(q\)-shifted factorials and \(q\)-gamma functions ⋮ On the logarithmic energy of points on \(\mathbb{S}^2\) ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ Stationary measure for the open KPZ equation ⋮ Some recent progress on the stationary measure for the open KPZ equation ⋮ A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions ⋮ Inequalities related to the third Jackson \(q\)-Bessel function of order zero ⋮ Multiple gamma function, its \(q\)- and elliptic analogue. ⋮ \(q\)-deformations of two-dimensional Yang-Mills theory: classification, categorification and refinement ⋮ Scaled asymptotics for some \(q\)-functions ⋮ On basic Fourier-Bessel expansions ⋮ Some new formulas involving \(\Gamma_q\) functions ⋮ An infinite class of completely monotonic functions involving the \(q\)-gamma function ⋮ On a family of integrals that extend the Askey-Wilson integral ⋮ Asymptotic formulae for eigenvalues and eigenfunctions of q -Sturm-Liouville problems ⋮ On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms ⋮ On a connection between formulas about q–gamma functions ⋮ Spectral functions of zeros in the Bessel \(q\)-functions ⋮ Interpolation of entire functions, product formula for basic sine function ⋮ Wavelet Transforms in Quantum Calculus ⋮ Convergence aspects for generalizations of \(q\)-hypergeometric functions ⋮ q-Littlewood-Paley g-function
This page was built for publication: Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions