Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials

DOI10.1155/2014/760613zbMath1322.11020arXiv1209.0628OpenAlexW2166666044WikidataQ59044321 ScholiaQ59044321MaRDI QIDQ2260335

Erdoğan Şen, Mehmet Acikgoz, Serkan Araci

Publication date: 10 March 2015

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

Full work available at URL: https://arxiv.org/abs/1209.0628

zbMATH Keywords

Bernoulli polynomialsGenocchi numbersGenocchi polynomialsEuler polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68)

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Cites Work

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• Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
• Some identities for the product of two Bernoulli and Euler polynomials
• Some formulae for the product of two Bernoulli and Euler polynomials
• Novel identities for \(q\)-Genocchi numbers and polynomials
• Bernoulli basis and the product of several Bernoulli polynomials
• Theorems on Genocchi polynomials of higher order arising from Genocchi basis
• Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials
• On the extended kim's \(p\)-adic \(q\)-deformed fermionic integrals in the \(p\)-adic integer ring
• Multiplication formulas for products of Bernoulli and Euler polynomials
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Sums of products of generalized Bernoulli polynomials.
• Some identities and an explicit formula for Bernoulli and Stirling numbers
• Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
• Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
• Some families of Genocchi type polynomials and their interpolation functions
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
• The Product of Two Eulerian Polynomials

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