Results 91 to 100 of about 7,436 (197)
New Results for Some Generalizations of Starlike and Convex Functions
Journal of Function Spaces, 2020 The purpose of the current paper is to investigate several various problems for the categories STLs,SNe∗, and other related categories such as various new outcomes for the coefficients of f, together with majorization issues, the Hankel determinant, and ...
Ali Ebadian +3 more
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Optimal Control Applications and Methods, Volume 47, Issue 2, Page 570-588, March/April 2026.Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
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Continued Fractions and Hankel Determinants from Hyperelliptic Curves [PDF]
Communications on Pure and Applied Mathematics, 2020 AbstractFollowing van der Poorten, we consider a family of nonlinear maps that are generated from the continued fraction expansion of a function on a hyperelliptic curve of genus g. Using the connection with the classical theory of J‐fractions and orthogonal polynomials, we show that in the simplest case g = 1 this provides a straightforward derivation
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Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]
Heliyon, 2023 Sun Y +4 more
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Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
, 2007 We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related system of orthogonal polynomials to obtain our results.Comment: 34 pages ...
Its, A., Krasovsky, I.
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Rational Approximations via Hankel Determinants
, 2020 Define the monomials $e_n(x) := x^n$ and let $L$ be a linear functional. In this paper we describe a method which, under specified conditions, produces approximations for the value $L(e_0 )$ in terms of Hankel determinants constructed from the values $L(e_1 )$, $L(e_2 )$, . . . . Many constants of mathematical interest can be expressed as the values of
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The Hankel Determinant of Exponential Polynomials [PDF]
The American Mathematical Monthly, 2000 (2000). The Hankel Determinant of Exponential Polynomials. The American Mathematical Monthly: Vol. 107, No. 6, pp. 557-560.
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Journal of Inequalities and ApplicationsIn recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi +4 more
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Coefficient bounds for certain subclasses of starlike functions
Journal of Inequalities and Applications, 2019 The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show that their conjectures for the bound on the
Nak Eun Cho +3 more
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Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions
Journal of MathematicsSuppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic ...
Dong Guo +4 more
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