On Taylor series and Kapteyn series of the first and second type
โ Scribed by Diego Ernesto Dominici
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 225 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
We study the relation between the coefficients of Taylor series and Kapteyn series representing the same function. We compute explicit formulas for expressing one in terms of the other and give examples to illustrate our method.
๐ SIMILAR VOLUMES
Numerical di erentiation formulas based on interpolating polynomials, operators and lozenge diagrams can be simpliรฟed to one of the รฟnite di erence approximations based on Taylor series. In this paper, we have presented closed-form expressions of these approximations of arbitrary order for รฟrst and
One-centre quaritities for the elements of the frost and second traadtion meti -ties are given which OLI be used instead of the conesponding one-centre integrals in semi-empirical MO calculat~oons.