Majorization results for non vanishing analytic functions in different domains

Author:

Tang Huo1,Arif Muhammad2,Ullah Khalil2,Khan Nazar3,Khan Bilal4

Affiliation:

1. School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China

2. Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

3. Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan

4. School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China

Abstract

<abstract><p>In recent years, many authors have studied and investigated majorization results for different subclasses of analytic functions. In this paper, we give some majorization results for certain non vanishing analytic functions, whose ratios are subordinated to different domains in the open unit disk.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference35 articles.

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3. M. S. Roberston, Quasi-subordination and coefficient conjectures, Bull. Amer. Math. Soc., 76 (1970), 1–9.

4. T. H. MacGregor, Majorization by univalent functions, Duke Math. J., 34 (1967), 95–102. https://doi.org/10.1215/S0012-7094-67-03411-4

5. O. Altintas, H. M. Srivastava, Some majorization problems associated with $p$-valently starlike and convex functions of complex order, East Asian Math. J., 17 (2001), 175–183.

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