Calculating zeros of the \(q\)-Genocchi polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\)

DOI10.1155/2012/210768zbMath1258.11036OpenAlexW2006760642WikidataQ58705612 ScholiaQ58705612MaRDI QIDQ715114

Cheon Seoung Ryoo

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/210768

Mathematics Subject Classification ID

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

Cites Work

• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• A note on \(q\)-Euler and Genocchi numbers
• On the \(q\)-extension of Euler and Genocchi numbers
• On the multiple \(q\)-Genocchi and Euler numbers
• A note on the \((h,q)\)-extension of Bernoulli numbers and Bernoulli polynomials
• A numerical computation on the structure of the roots of \(q\)-extension of Genocchi polynomials
• Exploring the \(q\)-Riemann zeta function and \(q\)-Bernoulli polynomials
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