Results 11 to 20 of about 5,232 (228)
Mathematics, 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
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Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes [PDF]
AxiomsThis paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi +2 more
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On determinants identity minus Hankel matrix [PDF]
Bulletin of the London Mathematical Society, 2019 In this note, we study the asymptotics of the determinant $\det(I_N - H_N)$ for $N$ large, where $H_N$ is the $N\times N$ restriction of a Hankel matrix $H$ with finitely many jump discontinuities in its symbol satisfying $\|H\|\leq 1$. Moreover, we assume $ \in\mathbb C$ with $| |<1$ and $I_N$ denotes the identity matrix. We determine the first
Emilio Fedele, Martin Gebert
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Hankel determinants for some common lattice paths
Advances in Applied Mathematics, 2008 For a single value of $\ell$, let $f(n,\ell)$ denote the number of lattice paths that use the steps $(1,1)$, $(1,-1)$, and $(\ell,0)$, that run from $(0,0)$ to $(n,0)$, and that never run below the horizontal axis. Equivalently, $f(n,\ell)$ satisfies the quadratic functional equation $F(x) = \sum_{n\ge 0}f(n,\ell) x^n = 1+x^{\ell}F(x)+x^2F(x)^2.$ Let ...
Sulanke, Robert A., Xin, Guoce
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Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions
Fractal and Fractional, 2021 In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered.
Lei Shi +5 more
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Perturbed Hankel determinants [PDF]
Journal of Physics A: Mathematical and General, 2005 In this short note, we compute, for large n the determinant of a class of n x n Hankel matrices, which arise from a smooth perturbation of the Jacobi weight. For this purpose, we employ the same idea used in previous papers, where the unknown determinant, D_n[w_{ , }h] is compared with the known determinant D_n[w_{ , }].
Basor, Estelle, Chen, Yang
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Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid
Journal of Function Spaces, 2021 In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani +6 more
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Hankel Determinants of Zeta Values [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 We study the asymptotics of Hankel determinants constructed using the values $ (an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Haynes, Alan, Zudilin, Wadim
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On Determinant Expansions for Hankel Operators [PDF]
Concrete Operators, 2020 Abstract Let w be a semiclassical weight that is generic in Magnus’s sense, and (
Blower, Gordon, Chen, Yang
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Journal of Mathematics, 2022 This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function.
Farah Zulfiqar +3 more
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