Title

ON THE HYPERGEOMETRIC FUNCTION AND FAMILIES OF HOLOMORPHIC FUNCTIONS.

Authors

ELIN, MARK; JACOBZON, FIANA

Abstract

In this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the set-theoretic properties of this family, identify the general form of filtrations within it, and discover that it is not a lattice. This insight motivates us to introduce a refined concept of quasi-infima and quasi-suprema, and to establish their complete description. Unexpectedly, some new properties of the Gaufi hypergeometric function play a crucial role in our investigation.

Subjects

HYPERGEOMETRIC functions; MATHEMATICIANS; SET functions; MOTIVATION (Psychology)

Publication

Romanian Journal of Pure & Applied Mathematics / Revue Roumaine de Mathematiques Pures et Appliquees, 2024, Vol 69, Issue 3/4, p487

ISSN

0035-3965

Publication type

Academic Journal

DOI

10.59277/RRMPA.2024.487.504