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

• Autorzy: Lupaş Alina Alb , Oros Georgia Irina

Identyfikatory

DOI

10.1515/dema-2022-0186

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional integral of q-hypergeometric function; differential subordination; differential superordination; best dominant; best subordinant

PL

całka ułamkowa funkcji q-hipergeometrycznej; równania różniczkowe; podporządkowania różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220186
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Lupaş Alina Alb

• Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania

autor

Oros Georgia Irina

• Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).