Rational approximation to the Hurwitz-Lerch zeta function
Abstract
The main result of this paper is the construction of new sequences of rational approximations to the Lerch function. This construction is based on a generalization of the "remainder Pade approximants" method introduced by the author in 1996. More recently, this method has been applied, in the form of remainder Pade-type approximants, to the approximation of Stieltjes constants.
Fields of Study & Subjects
Mathematical functions and polynomials
Advanced Mathematical Identities
Fractional Differential Equations Solutions
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 13 June 2026
- Language
- EN
- Document type
- Preprint