Derivative polynomials and closed-form higher derivative formulae [PDF]
Applied Mathematics and Computation, 2009 In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions.
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Closed-Form Formula for the Conditional Moments of Log Prices under the Inhomogeneous Heston Model
Computation, 2022 Several financial instruments have been thoroughly calculated via the price of an underlying asset, which can be regarded as a solution of a stochastic differential equation (SDE), for example the moment swap and its exotic types that encourage investors
Kittisak Chumpong +1 more
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CLOSED FORM FORMULA FOR THE NUMBER OF RESTRICTED COMPOSITIONS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractIn this paper, compositions of a natural number are studied. The number of restricted compositions is given in a closed form, and some applications are presented.
Jaklič, Gašper +2 more
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A Computational Method with Maple for Finding the Maximum Curvature of a Bézier-Spline Curve
Mathematical and Computational Applications, 2023 In this paper, we propose two Maple procedures and some related utilities to determine the maximum curvature of a cubic Bézier-spline curve that interpolates an ordered set of points in R2 or R3.
Henk Pijls, Le Phuong Quan
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A multiscale collocation method for fractional differential problems [PDF]
, 2018 We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
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Special Types of Locally Conformal Closed G2-Structures
Axioms, 2018 Motivated by known results in locally conformal symplectic geometry, we study different classes of G 2 -structures defined by a locally conformal closed 3-form.
Giovanni Bazzoni, Alberto Raffero
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Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
IEEE Access, 2021 A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
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Lower Bound on Entanglement of Formation for the Qubit-Qudit System [PDF]
, 2003 Wootters [PRL 80, 2245 (1998)] has derived a closed formula for the entanglement of formation (EOF) of an arbitrary mixed state in a system of two qubits. There is no known closed form expression for the EOF of an arbitrary mixed state in any system more
Edward Gerjuoy +7 more
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On a family of sums of powers of the floor function and their links with generalized Dedekind sums [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper we are concerned with a family of sums involving the floor function. With r a nonnegative integer and n and m positive integers we consider the sums Sᵣ(n,m):=Σₖ₌₁ⁿ⁻¹[km/n]ʳ.
Steven Brown
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A Compact Formula for Rotations as Spin Matrix Polynomials [PDF]
, 2014 Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group.
Curtright, Thomas L. +2 more
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