Some properties of a class of holomorphic functions associated with tangent function

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Názov: Some properties of a class of holomorphic functions associated with tangent function
Autori: Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz
Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 159-177 (2024)
Informácie o vydavateľovi: De Gruyter, 2024.
Rok vydania: 2024
Zbierka: LCC:Mathematics
Predmety: holomorphic functions, subordination, tangent function, convolution, janowski functions, primary 30c45, secondary 30c50, Mathematics, QA1-939
Popis: In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point theorem and partial sums results, necessary and sufficient conditions, convex combination, closure theorem, growth and distortion bounds, and radii of close-to-starlikeness and starlikeness for this newly defined functions class of holomorphic functions.
Druh dokumentu: article
Popis súboru: electronic resource
Jazyk: English
ISSN: 2391-4661
Relation: https://doaj.org/toc/2391-4661
DOI: 10.1515/dema-2023-0142
Prístupová URL adresa: https://doaj.org/article/599ec76b00eb481eae642bacdf1e65b5
Prístupové číslo: edsdoj.599ec76b00eb481eae642bacdf1e65b5
Databáza: Directory of Open Access Journals
Popis
Abstrakt:In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point theorem and partial sums results, necessary and sufficient conditions, convex combination, closure theorem, growth and distortion bounds, and radii of close-to-starlikeness and starlikeness for this newly defined functions class of holomorphic functions.
ISSN:23914661
DOI:10.1515/dema-2023-0142