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Davood Alimohammadi

Davood Alimohammadi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-9398-6213
Education: PhD.
ScopusId: 6505995626
Faculty: Science
Address: Arak University
Phone:

Research

Title
Logarithmic Coefficients for Classes Related to Convex Functions
Type
JournalPaper
Keywords
Univalent functions, Starlike and convex functions of some order Subordination, Logarithmic coefficients
Year
2021
Journal Bulletin of the Malaysian Mathematical Sciences Society
DOI
Researchers Davood Alimohammadi ، Ebrahim Analouee ، Teodor Bulboaka ، Nak Eun Cho

Abstract

In this work, we estimate the bounds for the logarithmic coefficients γn of some well-known classes like F(c) for c ∈ (0, 0.656] ∪ {2}. The best bound obtained for the logarithmic coefficient |γ5| is sharp for c = 2. In a special case, it is important to note that we obtain the bounds for the logarithmic coefficients γn of the convex functions of order α for some α. It is worthwhile mentioning that the given bounds would generalize some of the previous papers.