Results 11 to 20 of about 71,077 (260)
On a nonlinear second-order difference equation
Journal of Inequalities and Applications, 2022 We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also given.
Stevo Stević +3 more
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Mathematics, 2021 At present, the study concerning pricing variance swaps under CIR the (Cox–Ingersoll–Ross)–Heston hybrid model has achieved many results; however, due to the instantaneous interest rate and instantaneous volatility in the model following the Feller ...
Chen Mao, Guanqi Liu, Yuwen Wang
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A New Approach to Discrete Integration and Its Implications for Delta Integrable Functions
Mathematics, 2023 This research aims to develop discrete fundamental theorems using a new strategy, known as delta integration method, on a class of delta integrable functions. The νth-fractional sum of a function f has two forms; closed form and summation form.
Mohammed M. Al-Shamiri +8 more
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A closed-form pricing formula for European options in an illiquid asset market
Financial Innovation, 2022 This article addresses the problem of pricing European options when the underlying asset is not perfectly liquid. A liquidity discounting factor as a function of market-wide liquidity governed by a mean-reverting stochastic process and the sensitivity of
Puneet Pasricha +2 more
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Integration of a Generalized Ratio of Polynomials
Mathematics, 2021 This paper provides a closed-form solution to the indefinite integral of a ratio of generalized polynomials where the denominator polynomial is raised to the general order r∈Z+.
Matthew J. Brandsema, Donovan E. Brocker
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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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IEEE Access, 2023 The closed-form solution of each rotation joint angle is the most direct and convenient method for humanoid robot arms to imitate the real-time motion of the human arm.
Feifei Zhong +5 more
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Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We find approximate expressionsx̃(k,n,a)andỹ(k,n,a)for the real and imaginary parts of thekth zerozk=xk+iykof the Bessel polynomialyn(x;a). To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex plane are limit points of the zeros of the normalized Bessel polynomials.
Rafael G. Campos, Marisol L. Calderón
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Note on constructing a family of solvable sine-type difference equations
Advances in Difference Equations, 2021 We obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations.
Ahmed El-Sayed Ahmed +4 more
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A Mathematical Model for the Analysis of Jet Engine Fuel Consumption during Aircraft Cruise
Energies, 2021 In this paper we propose a mathematical model for the fuel consumption analysis during aircraft cruise. A closed-form formula that expresses the aircraft’s weight variation over time, and hence, the fuel flow rate, is obtained as a result. Furthermore, a
Francisco Velásquez-SanMartín +3 more
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