Bounding the Gap Between Zeros of the Variable- Parameter Confluent Hypergeometric Function
Probability
2026-04-07 v1 Classical Analysis and ODEs
Abstract
This paper derives a lower bound on the spacing between adjacent zeros of the confluent hypergeometric function when is variable and are known and fixed. Monotonicity of the bound is established, and the results are used to assess the accuracy of asymptotic approximations for the first passage probability of a Wiener process.
Cite
@article{arxiv.2604.04840,
title = {Bounding the Gap Between Zeros of the Variable- Parameter Confluent Hypergeometric Function},
author = {Steven Langel},
journal= {arXiv preprint arXiv:2604.04840},
year = {2026}
}