Results 91 to 100 of about 5,232 (228)

Rational Approximations via Hankel Determinants

, 2020
Define the monomials $e_n(x) := x^n$ and let $L$ be a linear functional. In this paper we describe a method which, under specified conditions, produces approximations for the value $L(e_0 )$ in terms of Hankel determinants constructed from the values $L(e_1 )$, $L(e_2 )$, . . . . Many constants of mathematical interest can be expressed as the values of
openaire   +2 more sources

An upper bound to the second Hankel determinant for pre-starlike functions of order α

Le Matematiche, 2015
The objective of this paper is to obtain an upper bound to the second Hankel determinant  for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
doaj  

Bounds on Hankel Determinants with Fekete-Szegö Parameter for Bazilević Functions [version 2; peer review: 2 approved, 1 not approved]

F1000Research
Background In Geometric Function Theory, a central area of complex analysis, researchers study the geometric properties of analytic and univalent functions in the unit disk.
Abdul Rahman S.Juma, Nathir Khaled
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.
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On Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions

Journal of Mathematics
In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1+zf″z/f′z≺cosz. We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos.
Umar Raza, Mohsan Raza, Afis Saliu
doaj   +1 more source

Toeplitz Determinants for Inverse of Analytic Functions

Mathematics
Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi, Yahea Hashem Saleem, Alina Alb Lupaş, Khalid M. K. Alshammari, Abdullah Alatawi   +4 more
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Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices [PDF]

, 2016
Estelle Basor, Torsten Ehrhardt
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Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions

Fractal and Fractional
In the present paper, using the q-difference operator, we introduce two classes of q-starlike functions and q-convex functions subordinate to secant hyperbolic functions. As functions in these classes have unique characteristic of missing coefficients on
Lifen Zhang, Zhigang Wang, Lei Shi
doaj   +1 more source

Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative [PDF]

, 2008
Akshaya Mishra, P. Gochhayat
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On Hankel Determinant Inequalities

International Journal For Multidisciplinary Research
This article aims to obtain the second Hankel determinant inequalities for the inverse of the well-known classes of univalent functions, namely, starlike and convex functions.
openaire   +1 more source