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Hyperbolic Punishment Function [PDF]
Review of Law & Economics, 2012 All models in Law and Economics use punishment functions (PF) that incorporates a trade-off between probability of detection, p, and punishment, F. Suppose society wishes to minimize the total costs of enforcement and damages from crime, T (p; F).
Ali al-Nowaihi, Sanjit Dhami
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Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains [PDF]
, 2004 This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group.
Vladimir V. Kisil, Debapriya Biswas
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Integrals of hyperbolic tangent function [PDF]
Discrete Mathematics LettersBy means of the contour integration method, we evaluate, in closed form, a class of definite integrals involving hyperbolic tangent function.
Jing Li, Wenchang Chu
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Hypergeometric functions and hyperbolic metric
Computational Methods and Function Theory, 2008 We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain.
G. D. Anderson +3 more
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Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions [PDF]
Proceedings of the London Mathematical Society, 2013 We show that there exists a hyperbolic entire function of finite order of growth such that the hyperbolic dimension---that is, the Hausdorff dimension of the set of points in the Julia set of whose orbit is bounded---is equal to two. This is in contrast to the rational case, where the Julia set of a hyperbolic map must have Hausdorff dimension less ...
Lasse Rempe
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Well-posedness and stability for fuzzy fractional differential equations
Nonlinear Analysis, 2022 In this article, we consider the existence and uniqueness of solutions for a class of initial value problems of fuzzy Caputo–Katugampola fractional differential equations and the stability of the corresponding fuzzy fractional differential equations ...
Xuping Zhang, Yanli Xi, Donal O’Regan
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Fractal and Fractional, 2022 This article investigates the local fractional generalized Kadomtsev–Petviashvili equation and the local fractional Kadomtsev–Petviashvili-modified equal width equation.
Mohammad Abdelhadi +2 more
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A modified hyperbolic secant distribution [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 The aims of this paper are to introduce and validate a new distribution, which is related to the hyperbolic function. The differential equation is applied to obtain the survival and probabilistic functions. The moment generating function is provided by
Panu Thongchan, Winai Bodhisuwan
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New Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean
Mathematics, 2021 Let Ipx be the modified Bessel function of the first kind of order p. The upper and lower bounds in the form of simple rational functions about cosht and (sinht)/t for the function I0x are obtained.
Ling Zhu
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Hyperbolic Harmonic Functions and Hyperbolic Brownian Motion [PDF]
Advances in Applied Clifford Algebras, 2020 Abstract We study harmonic functions with respect to the Riemannian metric $$\begin{aligned} ds^{2}=\frac{dx_{1}^{2}+\cdots +dx_{n}^{2}}{x_{n}^{\frac{2\alpha }{n-2}}} \end{aligned}$$ d s 2 = d x 1 2 + ⋯ + d x n 2 x n 2 α n - 2 in the upper half space $$\mathbb {R}_{+}^{n}=\{\left( x_{1},\ldots ,x_{n}\right) \in \mathbb
Sirkka-Liisa Eriksson, Terhi Kaarakka
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