Some properties of a class of holomorphic functions associated with tangent function-Reference-Cited by-同舟云学术

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

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Khan Muhammad Ghaffar¹,Mashwani Wali Khan¹,Salleh Zabidin²,Tchier Fairouz³,Khan Bilal⁴,Malik Sarfraz Nawaz⁵

Affiliation:

1. Institute of Numerical Sciences, Kohat University of Sciences and Technology , Kohat 26000 , Pakistan

2. Special Interest Group on Modeling and Data Analytics, Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu , 21030 Kuala Nerus , Terengganu , Malaysia

3. Mathematics Department, College of Science, King Saud University , P.O. Box 22452 , Riyadh 11495 , Saudi Arabia

4. School of Mathematical Sciences, Tongji University , 1239 Siping Road , Shanghai , 200092 , PR China

5. Department of Mathematics, COMSATS University Islamabad, Wah Campus , Wah Cantt 47040 , Pakistan

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0142/pdf

Reference26 articles.

1. W. Ma and D. A. Minda, Unified treatment of some special classes of univalent functions, Int. J. Math. Math. Sci. 2011 (2011), 18–36.

2. W. Janowski, Extremal problems for a family of functions with positive real part and for some related families, Ann. Polonici Math. 23 (1971), 159–177.

3. S. S. Kumar and K. Arora, Starlike functions associated with a petal shaped domain, Bull. Korean Math. Soc. 59 (2022), 993–1010.

4. K. Ullah, H. M. Srivastava, A. Rafiq, M. Arif, and S. Arjika, A study of sharp coefficient bounds for a new subfamily of starlike functions, J. Inequ. Appl. 202 (2021), 1–20.

5. R. Mendiratta, S. Nagpal, and V. Ravichandran, On a subclass of strongly starlike functions associated with exponential function, Bull. Malays. Math. Sci. Soc. 38 (2015), 365–386.

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