THERMAL SCIENCE

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Ismet Yildiz

,

Hasan Sahin

,

Oya Mert

SOME CONDITIONS ON STARLIKE AND CLOSE TO CONVEX FUNCTIONS

ABSTRACT
Many mathematical concepts are explained when viewed through complex function theory. We are here basically concerned with the form f(z)=a0+a1z+a2z2+...f(z) ∈A, f(z)=z+Σ∞, n=2anZ2 will be an analytic function in the open unit disc U={z:|z|<1, z=∈C}normalized by f(0) = 0, f'(0)=1. In this work, starlike functions and close-to-convex functions with order 1/4 have been studied according to the exact analytic requirements.
KEYWORDS
analytic function, univalent function, close to convex function, starlike function
PAPER SUBMITTED: 2022-06-30
PAPER REVISED: 2022-07-25
PAPER ACCEPTED: 2022-09-20
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2639Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [639 - 645]
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Some conditions on starlike and close to convex functions

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence