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

DOI10.1007/s12190-007-0011-6zbMath1230.11145OpenAlexW2040139523MaRDI QIDQ949262

Cheon Seoung Ryoo

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-007-0011-6

zbMATH Keywords

Euler numbersGenocchi numbersGenocchi polynomials\(q\)-Genocchi polynomials\(q\)-Genocchi numbersEuler polynomialsreflection symmetries of the \(q\)-Genocchi polynomialsroots of \(q\)-Genocchi polynomials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (6)

ON CARLITZ'S TYPE q-TANGENT NUMBERS AND POLYNOMIALS AND COMPUTATION OF THEIR ZEROS ⋮ A NUMERICAL INVESTIGATION ON THE STRUCTURE OF THE ROOT OF THE (p, q)-ANALOGUE OF BERNOULLI POLYNOMIALS ⋮ Differential equations arising from polynomials of derangements and structure of their zeros ⋮ Unnamed Item ⋮ Arithmetic identities involving Genocchi and Stirling numbers ⋮ Unnamed Item

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 investigation on the structure of the roots of \(q\)-Genocchi polynomials