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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: 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)

Creator: Alb Lupaş, Alina
Oros, Georgia Irina

DOI: 10.1515/dema-2022-0186

URN: urn:nbn:de:101:1-2023011913103550514082

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:36 AM CEST

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Alb Lupaş, Alina
Oros, Georgia Irina

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

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Other Objects (12)

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