Results 101 to 110 of about 8,275 (212)

Fekete-Szegö and Hankel inequalities related to the sine function

Applied Mathematics in Science and Engineering
The Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are ...
Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, Issra Batool   +3 more
doaj   +1 more source

Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

, 2007
We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related system of orthogonal polynomials to obtain our results.Comment: 34 pages ...
Its, A., Krasovsky, I.
core   +1 more source

Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

Boletim da Sociedade Paranaense de Matemática, 2019
In this paper, a new subclass of analytic functions ML_{\lambda}^{*}  associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szego functional |a_{3}-\mu a_{2}^{2}|  for both real and complex \mu ...
Trailokya Panigrahi, Janusz Sokól
doaj   +1 more source

On the second Hankel determinant of areally mean 𝑝-valent functions [PDF]

, 1976
J. W. Noonan, Derek K. Thomas
openalex   +1 more source

Coefficient bounds for certain subclasses of starlike functions

Journal of Inequalities and Applications, 2019
The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show that their conjectures for the bound on the
Nak Eun Cho, Virendra Kumar, Oh Sang Kwon, Young Jae Sim   +3 more
doaj   +1 more source

Coefficient differences and Hankel determinants of areally mean 𝑝-valent functions [PDF]

, 1974
J. W. Noonan
openalex   +1 more source

Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions

Journal of Inequalities and Applications
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam   +4 more
doaj   +1 more source

Hankel determinants for the Fibonacci word and Padé approximation [PDF]

, 1999
Teturo Kamae, Jun-ichi Tamura, Zhi‐Ying Wen   +2 more
openalex   +1 more source

A special class of Hankel determinants

, 2013
This is an enlarged version of the original paper which contains some new material.
openaire   +2 more sources

Determinants of Random Block Hankel Matrices

, 2017
We consider the moment space $\mathcal{M}^{p}_{2n+1}$ of moments up to the order $2n + 1$ of $p_n\times p_n$ real matrix measures defined on the interval $[0,1]$. The asymptotic properties of the Hankel determinant $\{\log\det (M_{i+j}^{p_n})_{i,j=0,\ldots,\lfloor nt\rfloor}\}_{t\in [0,1]}$ of a uniformly distributed vector $(M_1,\dots ,M_{2n+1})^t\sim\
Dette, Holger, Tomecki, Dominik
openaire   +2 more sources