A REVISIT TO NON-LINEAR DIFFERENTIAL EQUATIONS ASSOCIATED WITH GENOCCHI NUMBERS

DOI10.17654/NT040020207zbMath1420.11047OpenAlexW2791422982WikidataQ114049262 ScholiaQ114049262MaRDI QIDQ5229560

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Publication date: 16 August 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt040020207

zbMATH Keywords

nonlinear differential equationsGenocchi numbershigher-order Genocchi numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Nonlinear ordinary differential equations and systems (34A34)

Cites Work

• Some identities of Genocchi polynomials arising from Genocchi basis
• Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
• Theorems on Genocchi polynomials of higher order arising from Genocchi basis
• \(p\)-adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials
• A note on nonlinear Changhee differential equations
• Differential equations for Changhee polynomials and their applications
• SOME IDENTITIES OF DEGENERATE GENOCCHI POLYNOMIALS
• SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
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