Results 31 to 40 of about 828 (215)

Hankel Determinant H2(3) for Certain Subclasses of Univalent Functions [PDF]

, 2020
Let S to be the class of functions which are analytic, normalized and univalent in the unit disk U = {z : |z| < 1}. The main subclasses of S are starlike functions, convex functions, close-to-convex functions, quasiconvex functions, starlike functions ...
Aini Janteng, Rashidah Omar, Andy Liew Pik Hern   +2 more
core   +1 more source

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +1 more source

Applications of Modified Sigmoid Functions to a Class of Starlike Functions

Journal of Function Spaces, 2020
The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of
Muhammad Ghaffar Khan, Bakhtiar Ahmad, Gangadharan Murugusundaramoorthy, Ronnason Chinram, Wali Khan Mashwani   +4 more
doaj   +1 more source

A Study of Fourth-Order Hankel Determinants for Starlike Functions Connected with the Sine Function

Journal of Function Spaces, 2021
In this paper, upper bounds for the fourth-order Hankel determinant H41 for the function class Ss∗ associated with the sine function are given.
Hai-Yan Zhang, Huo Tang
doaj   +1 more source

Hankel Determinants of Random Moment Sequences [PDF]

Journal of Theoretical Probability, 2016
Keyword and Phrases: Hankel determinant, random moment sequences, weak convergence, large deviation principle, canonical moments, arcsine distribution AMS Subject Classification: 60F05, 60F10, 30E05 ...
Dette, Holger, Tomecki, Dominik
openaire   +3 more sources

An exact estimate of the third Hankel determinants for functions inverse to convex functions

Математичні Студії, 2023
Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent intrest of many researcher from early twenth century to study geometric properties.
B. Rath, K. S. Kumar, D. V. Krishna
doaj   +1 more source

The Hankel Determinant of Exponential Polynomials [PDF]

The American Mathematical Monthly, 2000
(2000). The Hankel Determinant of Exponential Polynomials. The American Mathematical Monthly: Vol. 107, No. 6, pp. 557-560.
openaire   +2 more sources

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

Journal of Mathematics, 2022
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.
Farah Zulfiqar, Sarfraz Nawaz Malik, Mohsan Raza, Md. Shajib Ali   +3 more
doaj   +1 more source

Hankel determinants of the Cantor sequence [PDF]

SCIENTIA SINICA Mathematica, 2014
In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e.
Wen, Zhi-xiong, Wu, Wen
openaire   +2 more sources

Universally prestarlike functions associated with shell like domain

Математичні Студії, 2022
In this paper, we introduce universally prestarlike generalized functions of order $\vartheta $ with $\vartheta \leq 1$ associated with shell like domain, and we get coefficient bounds and the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for such ...
K. Vijaya, G. Murugusundaramoorthy, S. Yalçın   +2 more
doaj   +1 more source