Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials
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Publication:848557
DOI10.1016/j.cam.2009.11.050zbMath1191.41005OpenAlexW2054097660MaRDI QIDQ848557
Publication date: 4 March 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.050
Padé approximantsBernoulli numbersEuler numbersApostol-Bernoulli polynomialsApostol-Euler polynomials
Related Items
Some new formulas for the products of the Apostol type polynomials ⋮ Summation formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Symmetric identity for polynomial sequences satisfying \(A^\prime_{n+1}(x) = (n + 1)A_n(x)\) ⋮ Recurrence for values of the zeta function ⋮ Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials ⋮ Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials ⋮ An extension of generalized Apostol-Euler polynomials ⋮ Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind ⋮ A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem ⋮ Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials ⋮ Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials ⋮ Some combinatorial arrays generated by context-free grammars ⋮ New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials ⋮ Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems ⋮ Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Sine and cosine types of generating functions
Cites Work
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