On some generalizations of sum of powers of natural numbers

DOI10.3103/S1066369X19080048zbMath1473.11045OpenAlexW2972770879MaRDI QIDQ2287000

Yanyan Li

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19080048

zbMATH Keywords

Bernoulli numbersGenocchi numbersGandhi polynomialssums of powers of natural numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Cites Work

• Proof of a conjecture on Genocchi numbers
• Shortened recurrence relations for Bernoulli numbers
• Explicit formulas for the Dumont-Foata polynomial
• Über die rationalen Nullstellen der von Potenzsummen der natürlichen Zahlen definierten Polynome
• Stirling polynomials
• On Miki's identity for Bernoulli numbers
• A finite difference approach to degenerate Bernoulli and Stirling polynomials
• Some theorems on Bernoulli numbers of higher order
• Johann Faulhaber and Sums of Powers
• Une propriété de symétrie des nombres de Genocchi
• Conjectures Involving a Generalization of the Sums of Powers of Integers
• A Conjectured Representation of Genocchi Numbers
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