Results 101 to 110 of about 5,232 (228)

Determinants of Random Block Hankel Matrices

open access: yes, 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

Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain

open access: yesMathematics
In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain.
Adel Salim Tayyah   +4 more
doaj   +1 more source

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

open access: yesSahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere   +2 more
doaj   +1 more source

Second Hankel Determinants for the Class of Typically Real Functions

open access: yesAbstract and Applied Analysis, 2016
We discuss the Hankel determinants H2(n)=anan+2-an+12 for typically real functions, that is, analytic functions which satisfy the condition Im ⁡z Im⁡f(z)≥0 in the unit disk Δ. Main results are concerned with H2(2) and H2(3).
Paweł Zaprawa
doaj   +1 more source

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