A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind
From MaRDI portal
Publication:3387107
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
Uses Software
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