Results 21 to 30 of about 1,107,761 (293)
Reconsidering trigonometric integrators [PDF]
ANZIAM Journal, 2009 AbstractIn this paper we look at the performance of trigonometric integrators applied to highly oscillatory differential equations. It is widely known that some of the trigonometric integrators suffer from low-order resonances for particular step sizes.
O'Neale, Dion, McLachlan, RI
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Discrete complementary exponential and sine integral functions
Demonstratio Mathematica, 2023 Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
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Studying Some Stochastic Differential Equations with trigonometric terms with Application
Zanco Journal of Pure and Applied Sciences, 2022 In this paper we look at several (trigonometric) stochastic differential equations, we find the general form for such nonlinear stochastic differential equation by using the I'to formula.
Abdulghafoor Jasim Salim , Ali A. Asmael
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A Geometric Approach to a Trigonometric Integral
Missouri Journal of Mathematical Sciences, 1989 Russell Euler
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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions
Mathematics, 2022 In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The
Mohsan Raza +4 more
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Certain families of integral formulas involving Struve functions
Boletim da Sociedade Paranaense de Matemática, 2019 Recently, a large number of integral formulas involving Bessel functions and their extensions have been investigated. The objective of this paper is to establish four classes of integral formulas associated with the Struve functions, which are expressed ...
Junesang Choi, Nisar Koottakkaran Sooppy
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q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory
Journal of Inequalities and Applications, 2020 In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometric types.
Shrideh Khalaf Al-Omari
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Abstract and Applied Analysis, 2022 In this article, we study and investigate the analytical solutions of the space-time nonlinear fractional modified KDV-Zakharov-Kuznetsov (mKDV-ZK) equation.
Mohamed A. Abdoon +2 more
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Integrability of trigonometric series III [PDF]
Bulletin of the Australian Mathematical Society, 1971 Ralph P. Boas, Jr, proved the following theorem: Let g be an odd function, integrable on (0, π) and periodic with period 2π, and its Fourier series be Σ bn sinnt. If 0 < r < 1 and bn ≥ 0 b > for all n, then t−rg(t) ∈ L(0, π) if and only if the series Σ bn/n1−r converges. Philip Heywood asked whether the conditions g(t) ∈ L(0, π) and bn ≥ 0 can
Izumi, Masako, Izumi, Shin-ichi
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