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

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Bibliographic Details
Title: Some properties of a class of holomorphic functions associated with tangent function
Authors: Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz
Source: Demonstratio Mathematica, Vol 57, Iss 1, Pp 159-177 (2024)
Publisher Information: De Gruyter, 2024.
Publication Year: 2024
Collection: LCC:Mathematics
Subject Terms: holomorphic functions, subordination, tangent function, convolution, janowski functions, primary 30c45, secondary 30c50, Mathematics, QA1-939
Description: 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.
Document Type: article
File Description: electronic resource
Language: English
ISSN: 2391-4661
Relation: https://doaj.org/toc/2391-4661
DOI: 10.1515/dema-2023-0142
Access URL: https://doaj.org/article/599ec76b00eb481eae642bacdf1e65b5
Accession Number: edsdoj.599ec76b00eb481eae642bacdf1e65b5
Database: Directory of Open Access Journals
Description
Abstract: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