A complete asymptotic expansion for the semi-exponential Post-Widder operators
Classical Analysis and ODEs
2025-09-17 v1
Abstract
In the present paper, we study the asymptotic properties of the semi-exponential Post-Widder operator. It is connected with . The main result is a pointwise complete asymptotic expansion valid for locally smooth functions of exponential growth. All coefficients are derived and explicitly given. As a special case we recover the complete asymptotic expansion for the classical Post-Widder operator.
Cite
@article{arxiv.2509.12270,
title = {A complete asymptotic expansion for the semi-exponential Post-Widder operators},
author = {Ulrich Abel and Octavian Agratini and Radu Paltanea},
journal= {arXiv preprint arXiv:2509.12270},
year = {2025}
}
Comments
12 pages