Results 81 to 90 of about 1,124 (219)
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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Rational Approximation to the Solutions of Two-Point Boundary Value Problems
Acta Polytechnica, 2011 We propose a method for the treatment of two-point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel determinants that converge rapidly towards the unknown parameter of the ...
P. Amore, F. M. Fernández
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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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An upper bound to the second Hankel determinant for pre-starlike functions of order α
Le Matematiche, 2015 The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
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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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Toeplitz Determinants for Inverse of Analytic Functions
MathematicsEstimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 more
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]
Sahand Communications in Mathematical AnalysisThe present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere +2 more
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Journal of MathematicsIn this article, we have studied the class Ccos of normalized analytic functions f satisfying 1+zf″z/f′z≺cosz. We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos.
Umar Raza, Mohsan Raza, Afis Saliu
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Fractal and FractionalIn the present paper, using the q-difference operator, we introduce two classes of q-starlike functions and q-convex functions subordinate to secant hyperbolic functions. As functions in these classes have unique characteristic of missing coefficients on
Lifen Zhang, Zhigang Wang, Lei Shi
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Second Hankel Determinants for the Class of Typically Real Functions
Abstract and Applied Analysis, 2016 We discuss the Hankel determinants H2(n)=anan+2-an+12 for typically real functions, that is, analytic functions which satisfy the condition Im z Imf(z)≥0 in the unit disk Δ. Main results are concerned with H2(2) and H2(3).
Paweł Zaprawa
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