Results 31 to 40 of about 1,124 (219)
Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
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
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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
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Catalan–Qi Numbers, Series Involving the Catalan–Qi Numbers and a Hankel Determinant Evaluation
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
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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
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Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities [PDF]
43 pages, 3 figures, extended ...
Deift, P, Its, A, Krasovsky, I
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Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
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
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Hankel Determinants of Eisenstein Series [PDF]
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 $E_{14} ^4$.
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Hankel Determinant for -Valent Alpha-Convex Functions [PDF]
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.
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Constellations and multicontinued fractions: application to Eulerian triangulations [PDF]
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
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Hankel determinants and orthogonal polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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