Generalized Bounded Turning Functions Connected with Gregory Coefficients-Reference-Cited by-同舟云学术

Generalized Bounded Turning Functions Connected with Gregory Coefficients

Published:2024-05-28 Issue:6 Volume:13 Page:359
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Tang Huo¹,Mujahid Zeeshan²^ORCID,Khan Nazar²^ORCID,Tchier Fairouz³^ORCID,Ghaffar Khan Muhammad⁴^ORCID

Affiliation:

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

2. Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, Pakistan

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

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

Abstract

In this research article, we introduce new family RG of holomorphic functions, which is related to the generalized bounded turning and generating functions of Gregory coefficients. Leveraging the concept of functions with positive real parts, we acquire the first five coefficients for the functions belonging to this newly defined family, demonstrating their sharpness. Furthermore, we find the third Hankel determinant for functions in the class RG. Moreover, the sharp bounds for logarithmic and inverse coefficients of functions belonging to the under-considered class RG are estimated.

Funder

National Science Foundation of the Peoples Republic of China

Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region

Natural Science Foundation of Inner Mongolia of the Peoples Republic of China

Higher School Foundation of Inner Mongolia of the Peoples Republic of China

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/6/359/pdf

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