Results 41 to 50 of about 8,275 (212)

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
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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

Hankel determinants of q-exponential polynomials

, 2009
We give simple proofs for the Hankel determinants of q-exponential polynomials.
Johann Cigler
openalex   +4 more sources

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

Coefficient functionals for a class of bounded turning functions related to modified sigmoid function

AIMS Mathematics, 2022
The main objective of the present article is to define the class of bounded turning functions associated with modified sigmoid function. Also we investigate and determine sharp results for the estimates of four initial coefficients, Fekete-Szegö ...
Muhammad Ghaffar Khan, Nak Eun Cho, Timilehin Gideon Shaba, Bakhtiar Ahmad, Wali Khan Mashwani   +4 more
doaj   +1 more source

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

Painlev\'e III$'$ and the Hankel Determinant Generated by a Singularly Perturbed Gaussian Weight

, 2018
In this paper, we study the Hankel determinant generated by a singularly perturbed Gaussian weight $$ w(x,t)=\mathrm{e}^{-x^{2}-\frac{t}{x^{2}}},\;\;x\in(-\infty, \infty),\;\;t>0.
Chen, Yang, Lyu, Shulin, Min, Chao
core   +1 more source

Bounds for the Second Hankel Determinant of Certain Univalent Functions

, 2013
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See, Ravichandran, V., Supramaniam, Shamani   +2 more
core   +1 more source

On vector Hankel determinants

Linear Algebra and its Applications, 2000
AbstractRecently, a definition of Hankel determinants Hkn whose entries belong to a real finite dimensional linear space Rd has been given. This definition is based on designants and Clifford algebra. Such determinants appear in the theory of vector orthogonal polynomials, vector Padé approximants, in the algebraic approach to the vector ε-algorithm ...
openaire   +2 more sources

Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight

Nuclear Physics B, 2020
We study the Hankel determinant generated by a singularly perturbed Jacobi weightw(x,t):=(1−x2)αe−tx2,x∈[−1,1],α>0,t≥0. If t=0, it is reduced to the classical symmetric Jacobi weight.
Chao Min, Yang Chen
doaj