Results 191 to 200 of about 828 (215)

HANKEL DETERMINANTS OF FACTORIAL FRACTIONS

Bulletin of the Australian Mathematical Society, 2021
AbstractBy making use of the Cauchy double alternant and the Laplace expansion formula, we establish two closed formulae for the determinants of factorial fractions that are then utilised to evaluate several determinants of binomial coefficients and Catalan numbers, including those obtained recently by Chammam [‘Generalized harmonic numbers, Jacobi ...
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Upper bound of second Hankel determinant for a new class of analytic functions

Applied Mathematics Letters, 2013
In the present investigation an upper bound of second Hankel determinant ∣a2a4−a32∣ for functions belonging to the class Rγτ(A,B) is studied using Toeplitz ...
Deepak Bansal
exaly   +2 more sources

Szegö’s theorem for Hankel determinants

Journal of Mathematical Physics, 1979
An analog of Szegö’s formula for asymptotic Töeplitz determinants is proved for Hankel determinants. The proof uses a set of recurrence formulas developed for polynomials orthogonal on a finite segment of the real line and some properties of the Jost function associated with those polynomials.
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The Second Hankel Determinant for k-symmetrical Functions

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023
In this article, we find the upper bound of the second Hankel determinant |a2a4−a23 | for subclasses of starlike and convex functions with respect to k-symmetric points.
Fuad Alsarari, Latha Satyanarayana, Maslina Darus   +2 more
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Hankel determinants for non-bazilevic functions

Analysis and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zaprawa, Paweł, Raza, Mohsan, Amin, Muniba   +2 more
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Hankel determinants and meromorphic functions

Mathematika, 1969
Let G be a plane domain with ∞ ∊ G. Let E be the compact complement of G and cap E the logarithmic capacity. We shall assume that cap E = 1 and E ⊂ {|Z| ≤ R. Then R ≥ 1, with equality if and only if E is a closed disc.
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Inverses and determinants of three classes of Hankel matrices

Bulletin of the Belgian Mathematical Society - Simon Stevin
Summary: By means of matrix decompositions, we examine three classes of Hankel matrices, whose entries are reciprocal factorials, factorial quotients and binomial coefficients. Their determinants are evaluated in closed form and inverses are explicitly determined.
Kılıç, Emrah, Chu, Wenchang
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Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha

Bulletin of the Malaysian Mathematical Sciences Society, 2021
Bogumiła Kowalczyk, Adam Lecko, Lecko Adam   +2 more
exaly  

The sharp bound of the third Hankel determinant for starlike functions

Forum Mathematicum, 2022
Bogumiła Kowalczyk, Adam Lecko, D K Thomas   +2 more
exaly  

The Sharp Bounds of the Third-Order Hankel Determinant for Certain Analytic Functions Associated with an Eight-Shaped Domain

Fractal and Fractional, 2022
Meshal Shutaywi, , Shi Lei
exaly