Results 31 to 40 of about 1,124 (219)

Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu   +2 more
doaj   +1 more source

Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function

open access: yesMathematics, 2022
In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function.
Lei Shi   +4 more
doaj   +1 more source

Catalan–Qi Numbers, Series Involving the Catalan–Qi Numbers and a Hankel Determinant Evaluation

open access: yesJournal of Mathematics, 2020
In this paper, using a study of the polynomial of Jacobi, we give an evaluation of the Hankel determinants that are associated with the sequence of Catalan–Qi numbers and several sequences of series involving the Catalan–Qi numbers.
Wathek Chammam
doaj   +1 more source

Sharp Bounds of the Coefficient Results for the Family of Bounded Turning Functions Associated with a Petal-Shaped Domain

open access: yesJournal of Function Spaces, 2021
The goal of this article is to determine sharp inequalities of certain coefficient-related problems for the functions of bounded turning class subordinated with a petal-shaped domain.
Omar M. Barukab   +3 more
doaj   +1 more source

Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities [PDF]

open access: yesAnnals of Mathematics, 2011
43 pages, 3 figures, extended ...
Deift, P, Its, A, Krasovsky, I
openaire   +4 more sources

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

open access: yesFractal and Fractional, 2022
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil   +6 more
doaj   +1 more source

Hankel Determinants of Eisenstein Series [PDF]

open access: yes, 2001
In this paper we prove Garvan's conjectured formula for the square of the modular discriminant $ $ as a 3 by 3 Hankel determinant of classical Eisenstein series $E_{2n}$. We then obtain similar formulas involving minors of Hankel determinants for $E_{2r} ^m$, for $m=1,2,3$ and $r=2,3,4,5,7$, and $E_{14} ^4$.
openaire   +2 more sources

Hankel Determinant for -Valent Alpha-Convex Functions [PDF]

open access: yesGeometry, 2013
The objective of the present paper is to obtain the sharp upper bound of for p-valent α-convex functions of the form in the unit disc .
Singh, Gagandeep, Mehrok, B. S.
openaire   +2 more sources

Constellations and multicontinued fractions: application to Eulerian triangulations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
We consider the problem of enumerating planar constellations with two points at a prescribed distance. Our approach relies on a combinatorial correspondence between this family of constellations and the simpler family of rooted constellations, which we ...
Marie Albenque, Jérémie Bouttier
doaj   +1 more source

Hankel determinants and orthogonal polynomials

open access: yesExpositiones Mathematicae, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Home - About - Disclaimer - Privacy