Asymptotics of the associated Pollaczek polynomials

DOI10.1090/proc/14405zbMath1416.33018OpenAlexW2898099998MaRDI QIDQ5377072

No author found.

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14405

zbMATH Keywords

asymptoticshypergeometric functionsdifference equationsPollaczek polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

Certain results on generating functions related to the associated Meixner-Pollaczek polynomials ⋮ Generating functions of Pollaczek polynomials: a revisit ⋮ Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials ⋮ Two inequalities for the associated Pollaczek polynomials

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Associated Jacobi-Laurent polynomials
• A weight function for the associated Jacobi-Laurent polynomials
• Pollaczek polynomials and Padé approximants: Some closed-form expressions
• On sieved orthogonal polynomials. VIII: Sieved associated Pollaczek polynomials
• Asymptotic expansions for second-order linear difference equations
• On sieved orthogonal polynomials. X: General blocks of recurrence relations
• ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS VIA RECURRENCE RELATIONS
• The Dirac–Coulomb problem: a mathematical revisit
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• On Sieved Orthogonal Polynomials. V: Sieved Pollaczek Polynomials
• The Associated Ultraspherical Polynomials and their _q-Analogues
• Asymptotic Behavior of the Pollaczek Polynomials and Their Zeros
• On Certain Special Sets of Orthogonal Polynomials

This page was built for publication: Asymptotics of the associated Pollaczek polynomials