Linear differential equations for families of polynomials

DOI10.1186/s13660-016-1038-8zbMath1334.33026OpenAlexW2309305022WikidataQ59437675 ScholiaQ59437675MaRDI QIDQ265673

F. Blanchet-Sadri, M. Dambrine

Publication date: 4 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1038-8

zbMATH Keywords

Poisson-Charlier polynomialsMeixner polynomialsactuarial polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)

Related Items (5)

Identities between harmonic, hyperharmonic and Daehee numbers ⋮ \((p, q)\)-analogues of the generalized Touchard polynomials and Stirling numbers ⋮ Some identities of degenerate Daehee numbers arising from certain differential equations ⋮ Identities of the degenerate Daehee numbers with the Bernoulli numbers of the second kind arising from nonlinear differential equation ⋮ Differential equations associated with higher-order Frobenius-Euler numbers revisited

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The saturation regime of Meixner polynomials and the discrete Bessel kernel
• Explicit formulas for Meixner polynomials
• A Poisson-Charlier approximation for nonstationary queues
• Identities involving Laguerre polynomials derived from umbral calculus
• Meixner polynomials and representations of the 3D Lorentz group \(\mathrm{SO}(2,1)\)
• A note on nonlinear Changhee differential equations
• An algebraic model for the multiple Meixner polynomials of the first kind
• Commutation Relations, Normal Ordering, and Stirling Numbers
• A superintegrable discrete oscillator and two-variable Meixner polynomials
• Spectral Asymptotics for Toeplitz Matrices Generated by the Poisson-Charlier Polynomials
• A Note on the Poisson-Charlier Functions
• Mehler-Heine type formulas for Charlier and Meixner polynomials

This page was built for publication: Linear differential equations for families of polynomials