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- 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