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

被引：12

作者：

Lupas, Alina Alb ^{[1
]}

Oros, Georgia Irina ^{[1
]}

机构：

[1] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania

来源：

DEMONSTRATIO MATHEMATICA | 2023年 / 56卷 / 01期

关键词：

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

D O I：

10.1515/dema-2022-0186

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：9

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