Results 181 to 190 of about 653 (205)

Inverses and determinants of three classes of Hankel matrices [PDF]

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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Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate [PDF]

Symmetry, 2022
In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient bounds, Hankel determinants of order two and three, and Zalcman ...
Mohsan Raza, Sarfraz Nawaz Malik, Qin Xin   +2 more
exaly   +2 more sources

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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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A multilinear operator for almost product evaluation of Hankel determinants [PDF]

Journal of Combinatorial Theory - Series A, 2010
In a recent paper we have presented a method to evaluate certain Hankel determinants as almost products; i.e. as a sum of a small number of products.
Ömer Eğecioğlu
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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Hankel determinants for starlike and convex functions associated with sigmoid functions

Forum Mathematicum, 2022
Mohsan Raza, Derek Thomas
exaly