Asymptotic approximations of the continuous Hahn polynomials and their zeros
DOI10.1016/j.jat.2019.07.001zbMath1428.41038arXiv1906.03521OpenAlexW2956532949WikidataQ127463059 ScholiaQ127463059MaRDI QIDQ2326380
Publication date: 7 October 2019
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.03521
zerosuniform asymptoticsthree-term recurrence relationcontinuous Hahn polynomialsPlancherel-type asymptotics
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients
- Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems
- The largest singletons of set partitions
- Bernoulli and Euler numbers and orthogonal polynomials
- Remainder Padé approximants for the exponential function
- Uniform asymptotics of orthogonal polynomials arising from coherent states
- Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients
- Asymptotic expansions for second-order linear difference equations
- The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
- Asymptotic expansions for second-order linear difference equations with a turning point
- A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants
- Quantum systems associated with the Hahn and continuous Hahn polynomials
- LINEAR DIFFERENCE EQUATIONS WITH A TRANSITION POINT AT THE ORIGIN
- ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS VIA RECURRENCE RELATIONS
- Nombres Exponentiels Et Nombres De Bernoulli
- On Some Polynomials Of Touchard
- Some Polynomials of Touchard Connected with the Bernoulli Numbers
- The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- The Hahn and Meixner polynomials of an imaginary argument and some of their applications
- Continuous Hahn polynomials
- A Set of Hypergeometric Orthogonal Polynomials
- Bound on the Extreme Zeros of Orthogonal Polynomials
- Associated Continuous Hahn Polynomials
- Continuous Hahn Polynomials of Differential Operator Argument and Analysis on Riemannian Symmetric Spaces of Constant Curvature
- Asymptotic Expansions for Second-Order Linear Difference Equations, II
- Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
- Linear difference equations with transition points
- Continuous Hahn polynomials and the Heisenberg algebra
- Rigorous WKB for Finite-Order Linear Recurrence Relations with Smooth Coefficients
- On Jacobi and continuous Hahn polynomials
- Asymptotics of linear recurrences
- Asymptotics of the Wilson polynomials
- WKB methods for difference equations I
- Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
- The Number of Partitions of a Set
This page was built for publication: Asymptotic approximations of the continuous Hahn polynomials and their zeros