Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials
From MaRDI portal
Publication:2894530
DOI10.1090/S0025-5718-2012-02568-3zbMath1268.11033arXiv1102.1493OpenAlexW2120941415MaRDI QIDQ2894530
Juan Luis Varona, Francisco J. Ruiz, Luis M. Navas
Publication date: 29 June 2012
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.1493
Bernoulli and Euler numbers and polynomials (11B68) Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)
Related Items (24)
Some new formulas for the products of the Apostol type polynomials ⋮ Two closed forms for the Apostol-Bernoulli polynomials ⋮ Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions ⋮ Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials ⋮ Asymptotic behavior of the Lerch transcendent function ⋮ Appell polynomials as values of special functions ⋮ Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters ⋮ About extensions of generalized Apostol-type polynomials ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Continuous Sheffer families. I ⋮ Certain results for the 2-variable Apostol type and related polynomials ⋮ Special values and integral representations for the Hurwitz-type Euler zeta functions ⋮ Old and new identities for Bernoulli polynomials via Fourier series ⋮ Möbius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials ⋮ Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials ⋮ A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra ⋮ Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials ⋮ Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions ⋮ Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials ⋮ Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials ⋮ The Lerch transcendent from the point of view of Fourier analysis
Cites Work
- Unnamed Item
- The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
- Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomials
- Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- On the Lerch zeta function
- Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
- Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
This page was built for publication: Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials
