Third Hankel determinants for subclasses of univalent functions

P Zaprawa - Mediterranean Journal of Mathematics, 2017 - Springer
The main aim of this paper is to discuss the third Hankel determinants for three classes: S^*
S∗ of starlike functions, KK of convex functions and RR of functions whose derivative has a …

The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions

S Sümer Eker, A Lecko, B Çekiç, B Şeker - Bulletin of the Malaysian …, 2023 - Springer
The aim of this paper is to determine sharp bound for the second Hankel determinant of
logarithmic coefficients H 2, 1 (F f/2) of strongly Ozaki close-to-convex functions in the open …

Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions

S Sümer Eker, B Şeker, B Çekiç, M Acu - Axioms, 2022 - mdpi.com
The logarithmic coefficients are very essential in the problems of univalent functions theory.
The importance of the logarithmic coefficients is due to the fact that the bounds on …

The second Hankel determinant for starlike and convex functions of order alpha

YJ Sim, DK Thomas, P Zaprawa - Complex Variables and Elliptic …, 2022 - Taylor & Francis
In recent years, the study of Hankel determinants for various subclasses of normalised
univalent functions f∈ S given by f (z)= z+∑ n= 2∞ anzn for D={z∈ C:| z|< 1} has produced …

Fourth Hankel Determinant for the Set of Star‐Like Functions

M Arif, L Rani, M Raza… - Mathematical Problems in …, 2021 - Wiley Online Library
Fourth Hankel Determinant for the Set of Star‐Like Functions Page 1 Research Article
Fourth Hankel Determinant for the Set of Star-Like Functions Muhammad Arif ,1 Lubna Rani,1 …

The second Hankel determinant for alpha-convex functions

J Sokól, DK Thomas - Lithuanian Mathematical Journal, 2018 - Springer
Let S denote the class of analytic univalent functions in 𝔻:= z ϵ ℂ:| z|< 1 normalized so that
fz= z+∑ n= 2∞ anzn. f (z)= z+ ∑ _ n= 2^ ∞ a _n z^ n. Let C and S∗ be the subclasses of S …

Second Hankel determinants for the class of typically real functions

P Zaprawa - Abstract and Applied Analysis, 2016 - Wiley Online Library
We discuss the Hankel determinants H 2 (n)= anan+ 2-an+ 1 2 for typically real functions,
that is, analytic functions which satisfy the condition Im⁡ z Im⁡ f (z)≥ 0 in the unit disk Δ …

Self-regulated 1-butanol production in Escherichia coli based on the endogenous fermentative control

RC Wen, CR Shen - Biotechnology for biofuels, 2016 - Springer
Background As a natural fermentation product secreted by Clostridium species, bio-based 1-
butanol has attracted great attention for its potential as alternative fuel and chemical …

Fourth‐Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions

F Zulfiqar, SN Malik, M Raza, MS Ali - Journal of Mathematics, 2022 - Wiley Online Library
This article deals with the upper bound of fourth‐order Hankel and Toeplitz determinants for
the convex functions which are defined by using the sine function. The main tools in this …

Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant

D Vamshee Krishna, T Ram Reddy - Indian Journal of Pure and Applied …, 2015 - Springer
FUNCTIONS ASSOCIATED WITH HANKEL DETERMINANT Page 1 Indian J. Pure Appl.
Math, 46(1): 91-106, February 2015 © Indian National Science Academy DOI: 10.1007/sl3226-015-0111-1 …