New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
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Publication:4844480
DOI10.2307/2161144zbMath0827.11012OpenAlexW4251960606WikidataQ56170732 ScholiaQ56170732MaRDI QIDQ4844480
Jacek Klinowski, Djurdje Cvijović
Publication date: 4 December 1995
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2161144
Related Items (20)
A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials ⋮ Values of the Legendre chi and Hurwitz zeta functions at rational arguments ⋮ LINEAR COMBINATIONS OF HURWITZ ZETA-FUNCTIONS ⋮ Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications ⋮ Beyond the Basel Problem, Part I ⋮ The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials ⋮ The structural elucidation of Eisenstein's formula ⋮ Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind ⋮ On a two-variable \(p\)-adic \(l_{q}\)-function ⋮ On the values of a class of Dirichlet series at rational arguments ⋮ Some formulas related to Hurwitz-Lerch zeta functions ⋮ On the Apostol-Bernoulli polynomials ⋮ Special values and integral representations for the Hurwitz-type Euler zeta functions ⋮ Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Closed-form evaluation of some families of cotangent and cosecant integrals ⋮ Closed-form formulae for the derivatives of trigonometric functions at rational multiples of \(\pi\) ⋮ On Euler numbers, polynomials and related \(p\)-adic integrals ⋮ On some Diophantine results related to Euler polynomials ⋮ Relations for Nielsen polylogarithms
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