Sandwich-type results regarding Riemann-Liouville fractional integral of q -hypergeometric function

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Abstract: The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using the theories of differential subordination and superordination. Theorems and corollaries containing new subordination and superordination results are proved for which best dominants and best subordinants are given, respectively. As an application of the results obtained by the means of the two theories, the statement of a sandwich-type theorem concludes the study.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Sandwich-type results regarding Riemann-Liouville fractional integral of q -hypergeometric function ; volume:56 ; number:1 ; year:2023 ; extent:9
Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 9)

Urheber
Alb Lupaş, Alina
Oros, Georgia Irina

DOI
10.1515/dema-2022-0186
URN
urn:nbn:de:101:1-2023011913103550514082
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:36 MESZ

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Beteiligte

  • Alb Lupaş, Alina
  • Oros, Georgia Irina

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