Results 31 to 40 of about 5,232 (228)
The kissing polynomials and their Hankel determinants [PDF]
, 2016 We study a family of polynomials that are orthogonal with respect to the weight function $e^{i\omega x}$ in $[-1,1]$, where $\omega\geq 0$. Since this weight function is complex-valued and, for large $\omega$, highly oscillatory, many results in the ...
Celsius, Andrew F. +3 more
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Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
Fractal and Fractional, 2019 The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan +1 more
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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete 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
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Catalan–Qi Numbers, Series Involving the Catalan–Qi Numbers and a Hankel Determinant Evaluation
Journal 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
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Journal 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
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Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge [PDF]
, 2016 We compute asymptotics for Hankel determinants and orthogonal polynomials with respect to a discontinuous Gaussian weight, in a critical regime where the discontinuity is close to the edge of the associated equilibrium measure support.
Bogatskiy, Alexander +2 more
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Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities [PDF]
Annals of Mathematics, 2011 43 pages, 3 figures, extended ...
Deift, P, Its, A, Krasovsky, I
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Hankel Determinant Calculus for the Thue-Morse and related sequences
, 2014 The Hankel determinants of certain automatic sequences $f$ are evaluated, based on a calculation modulo a prime number. In most cases, the Hankel determinants of automatic sequences do not have any closed-form expressions; the traditional methods, such ...
Han, Guo-Niu
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Hankel Determinants of Eisenstein Series [PDF]
, 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 $E_{14} ^4$.
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Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
Fractal 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
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