Difference equations for a class of twice-iterated \(\Delta _{h}\)-Appell sequences of polynomials

DOI10.1007/s13398-018-0582-0zbMath1439.11069OpenAlexW2897375044MaRDI QIDQ2317539

Banu Yilmaz Yaşar, Hari M. Srivastava, Mehmet Ali Özarslan

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0582-0

zbMATH Keywords

difference equationsrecurrence relationsAppell sequence of polynomialstwice-iterated \(\Delta _{h}\)-Appell sequencestwice-iterated Boole polynomialstwice-iterated Boole-Bernoulli polynomials of the second kindtwice-iterated Poisson-Charlier-Bernoulli polynomials of the second kindtwice-iterated Poisson-Charlier-Boole polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Difference operators (39A70) Real polynomials: analytic properties, etc. (26C05)

Related Items (4)

\(\Delta_h\)-Gould-Hopper Appell polynomials ⋮ \(\Delta_\omega\)-Laguerre based Appell polynomials and their properties associated with some special polynomials ⋮ On Bell based Appell polynomials ⋮ Unnamed Item

Cites Work

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• Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials
• On Sets of Polynomials and Associated Linear Functional Operators and Equations
• The Factorization Method

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