A numerical computation on the structure of the roots of \(q\)-extension of Genocchi polynomials

DOI10.1016/J.AML.2007.05.005zbMath1133.33309OpenAlexW2295768924MaRDI QIDQ2483141

Cheon Seoung Ryoo

Publication date: 28 April 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.05.005

zbMATH Keywords

Genocchi numbersGenocchi polynomials\(q\)-extension of Genocchi numbers\(q\)-extension of genocchi polynomialsreflection symmetries of the \(q\)-extension of Genocchi polynomialsroots of the \(q\)-extension of genocchi polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other special functions (33E99)

Related Items (6)

A note on the \((h,q)\)-extension of Bernoulli numbers and Bernoulli polynomials ⋮ Some properties of multiple generalized \(q\)-Genocchi polynomials with weight \(\alpha\) and weak weight \(\beta\) ⋮ Calculating zeros of the \(q\)-Genocchi polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) ⋮ q-difference equations for the composite 2D q-Appell polynomials and their applications ⋮ Analytic continuation of Euler polynomials and the Euler zeta function ⋮ Arithmetic identities involving Genocchi and Stirling numbers

Cites Work

• A note on \(q\)-Euler and Genocchi numbers
• On the \(q\)-extension of Euler and Genocchi numbers
• Exploring the \(q\)-Riemann zeta function and \(q\)-Bernoulli polynomials
• A numerical investigation of the roots ofq-polynomials

This page was built for publication: A numerical computation on the structure of the roots of \(q\)-extension of Genocchi polynomials