A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind

DOI10.1007/978-3-030-44559-1_9OpenAlexW3090975887MaRDI QIDQ3387107

Veronika Pillwein, Diego Ernesto Dominici

Publication date: 12 January 2021

Published in: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-44559-1_9

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Taylor series and Kapteyn series of the first and second type
• On an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansion
• A holonomic systems approach to special functions identities
• The method of creative telescoping
• Series of Bessel and Kummer-type functions
• On the early history of Bessel functions
• Outline of a scientific biography of Ernst Meissel (1826-1895)
• A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
• The analytical summation of a new class of Kapteyn series
• A non-holonomic systems approach to special function identities
• Methods for summing general Kapteyn series
• Physical Problems Solved by the Phase-Integral Method
• Kapteyn series in high intensity Compton scattering
• Terahertz-sideband spectra involving Kapteyn series
• Bessel Functions and Kepler's Equation
• Advanced applications of the holonomic systems approach
• The Holonomic Toolkit
• A new Kapteyn series
• Kapteyn series arising in radiation problems

This page was built for publication: A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind