On complete monotonicity of certain special functions

DOI10.1090/proc/13878zbMath1387.33024OpenAlexW2775306704MaRDI QIDQ4604681

Ruiming Zhang

Publication date: 5 March 2018

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

Full work available at URL: https://doi.org/10.1090/proc/13878

zbMATH Keywords

orthogonal polynomialsAiry function\(q\)-Bessel functionscomplete monotonicityAskey-Wilson polynomialsconfluent basic hypergeometric series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Geometric and monotonic properties of Ramanujan type entire functions ⋮ Turán inequalities and complete monotonicity for a class of entire functions ⋮ Geometric and monotonic properties of hyper-Bessel functions

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
• Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
• Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of Lévy processes
• Some classes of completely monotonic functions. II
• Zeros of entire functions and a problem of Ramanujan
• Plancherel-Rotach asymptotics for some \(q\)-orthogonal polynomials with complex scalings
• Completely monotonic functions associated with the gamma function and its q-analogues
• On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
• Completely monotonic and related functions
• Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function
• Plancherel-Rotach asymptotics for certain basic hypergeometric series
• Generalized q-Bessel functions
• Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
• Zeros of Ramanujan type entire functions
• Completely monotonic functions involving the gamma and $q$-gamma functions
• Chaotic and periodic asymptotics for q-orthogonal polynomials
• Special Functions, Stieltjes Transforms and Infinite Divisibility
• An Infinitely Divisible Distribution Involving Modified Bessel Functions
• Bernstein functions. Theory and applications

This page was built for publication: On complete monotonicity of certain special functions