$$\Delta _h$$-Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle

Name: $$\Delta _h$$-Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle
Keywords: difference operator, $U$-Euler polynomials, $\Delta_h$-Appell polynomials, Special sequences and polynomials, Fibonacci and Lucas numbers and polynomials and generalizations, Bernoulli and Euler numbers and polynomials, $U$-Bernoulli polynomials, Combinatorial identities, bijective combinatorics

$\Delta_h$-Appell versions of $U$-Bernoulli and $U$-Euler polynomials: properties, zero distribution patterns, and the monomiality principle

descriptionPublicationkeyboard_double_arrow_right Article 28 Mar 2025 English Publisher:Springer Science and Business Media LLCJournal:Afrika Matematika, volume 36 (issn: 1012-9405, eissn: 2190-7668,

Authors: Ramírez, William; Díaz, Stiven; Urieles, Alejandro; Cesarano, Clemente; Wani, Shahid Ahmad;

doi: 10.1007/s13370-025-01286-w

$$\Delta _h$$-Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle

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Keywords

difference operator, $U$-Euler polynomials, $\Delta_h$-Appell polynomials, Special sequences and polynomials, Fibonacci and Lucas numbers and polynomials and generalizations, Bernoulli and Euler numbers and polynomials, $U$-Bernoulli polynomials, Combinatorial identities, bijective combinatorics

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