Some properties of Bernoulli polynomials and their generalizations
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Publication:628283
DOI10.1016/j.aml.2010.12.021zbMath1217.11023OpenAlexW2030747398MaRDI QIDQ628283
Publication date: 10 March 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.021
Related Items (14)
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Cites Work
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- Orthogonality properties of the Hermite and related polynomials
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
- Operational formulas connected with two generalizations of Hermite polynomials
- Differential equation of Appell polynomials via the factorization method
- Remarks on some relationships between the Bernoulli and Euler polynomials.
- Connection problems via lowering operators
- The Frobenius problem, sums of powers of integers, and recurrences for the Bernoulli numbers
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- Some formulas for the Bernoulli and Euler polynomials at rational arguments
- On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case
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