On the theory of the Bernoulli polynomials and numbers

DOI10.1016/0022-247X(84)90001-5zbMath0552.10007MaRDI QIDQ800952

Pavel G. Todorov

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

rational functionsBernoulli numbersTaylor expansionBernoulli polynomialsgeneralization of the Kronecker-Bergmann formulanew representationsnth derivativenth derivative of the generating function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials ⋮ A numerical approach for solving a class of fractional optimal control problems via operational matrix Bernoulli polynomials ⋮ Extended Bernoulli and Stirling matrices and related combinatorial identities ⋮ Unnamed Item ⋮ Multiplikationstheoreme für die Bernoullischen Polynome und explizite Darstellungen der Bernoullischen Zahlen. (Multiplication theorems for Bernoulli polynomials and explicit representations of Bernoulli numbers) ⋮ About extensions of generalized Apostol-type polynomials ⋮ Shortened recurrence relations for generalized Bernoulli numbers and polynomials ⋮ Two identities for the Bernoulli–Euler numbers ⋮ Shortened recurrence relations for Bernoulli numbers

Cites Work

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• New explicit formulas for the \(n\)th derivative of composite functions
• Eine explizit Darstellung der BERNOULLIschen Zahlen
• Explicit Formulas for Bernoulli Numbers

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