Listar INAMAT2 - Institute for Advanced Materials and Mathematics por autor UPNA "Bujanda Cirauqui, Blanca"
Mostrando ítems 1-5 de 5
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An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions
We derive new convergent expansions of the symmetric standard elliptic integral RD(x,y,z), for x,y,z∈C∖(−∞,0], in terms of elementary functions. The expansions hold uniformly for large and small values of one of the three ... -
Convergent expansions of the confluent hypergeometric functions in terms of elementary functions
We consider the confluent hypergeometric function M(a, b; z) for z ∈ C and Rb >Ra > 0, and the confluent hypergeometric function U(a, b; z) for b ∈ C, Ra > 0, and Rz > 0. We derive two convergent expansions of M(a, b; z); ... -
Convergent expansions of the incomplete gamma functions in terms of elementary functions
We consider the incomplete gamma function γ(a,z) for Ra>0 and z∈C. We derive several convergent expansions of z−aγ(a,z) in terms of exponentials and rational functions of z that hold uniformly in z with Rz bounded from ... -
New fractional step Runge-Kutta-Nyström methods up to order three
Fractional Step Runge–Kutta–Nyströ (FSRKN) methods have been revealed to be an excellent option to integrate numerically many multidimensional evolution models governed by second order in time partial differential equations. ... -
Uniform approximations of the first symmetric elliptic integral in terms of elementary functions
We consider the standard symmetric elliptic integral RF(x, y, z) for complex x, y, z. We derive convergent expansions of RF(x, y, z) in terms of elementary functions that hold uniformly for one of the three variables x, y ...