A symbolic operator approach to power series transformation-expansion formulas
Journal of integer sequences, Tome 11 (2008) no. 2
In this paper we discuss a kind of symbolic operator method by making use of the defined Sheffer-type polynomial sequences and their generalizations, which can be used to construct many power series transformation and expansion formulas. The convergence of the expansions are also discussed.
Classification :
41A58, 41A80, 65B10, 05A15, 33C45, 39A70
Keywords: Sheffer-type polynomials, symbolic operator, power series, transformationexpansion, generalized Eulerian fractions, Stirling number of the second kind
Keywords: Sheffer-type polynomials, symbolic operator, power series, transformationexpansion, generalized Eulerian fractions, Stirling number of the second kind
@article{JIS_2008__11_2_a4,
author = {He, Tian-Xiao},
title = {A symbolic operator approach to power series transformation-expansion formulas},
journal = {Journal of integer sequences},
year = {2008},
volume = {11},
number = {2},
zbl = {1151.41312},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a4/}
}
He, Tian-Xiao. A symbolic operator approach to power series transformation-expansion formulas. Journal of integer sequences, Tome 11 (2008) no. 2. http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a4/