Výsledky vyhledávání - "computation of special functions"

Numerical methods for the computation of the confluent and Gauss hypergeometric functions Autor Pearson, John W., Olver, Sheehan, Porter, Mason A.

“…The two most commonly used hypergeometric functions are the confluent hypergeometric function and the Gauss hypergeometric function. We review the available…”
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Computation of the reverse generalized Bessel polynomials and their zeros Autor Dunster, T. Mark, Gil, Amparo, Ruiz‐Antolín, Diego, Segura, Javier

“…It is well known that one of the most relevant applications of the reverse Bessel polynomials θn(z) is filter design. In particular, the poles of the transfer…”
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Fast and accurate computation of Bessel functions with (large) complex order and argument Autor Smink, R.W., de Hon, B.P., Tijhuis, A.G.

“…A fast and highly accurate computational scheme to compute a product of Bessel functions with (large) complex order and argument is of utmost importance in…”
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Parabolic cylinder functions of large order Autor Jones, D.S.

“…The asymptotic behaviour of parabolic cylinder functions of large real order is considered. Various expansions in terms of elementary functions are derived…”
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Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions Autor López, José Luis, Temme, Nico M.

“…Expansions in terms of Bessel functions are considered of the Kummer function 1 F 1 ( a ; c , z ) (or confluent hypergeometric function) as given by Tricomi…”
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Algorithms and codes for the Macdonald function: recent progress and comparisons Autor Fabijonas, B.R., Lozier, D.W., Rappoport, J.M.

“…The modified Bessel function K i ν ( x), also known as the Macdonald function, finds application in the Kontorovich–Lebedev integral transform when x and ν are…”
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Computing Complex Airy Functions by Numerical Quadrature Autor Gil, Amparo, Segura, Javier, Temme, Nico M.

“…Integral representations are considered of solutions of the Airy differential equation w′′−zw=0 for computing Airy functions for complex values of z. In a…”
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Computing Special Functions by Using Quadrature Rules Autor Gil, Amparo, Segura, Javier, Temme, Nico M.

“…The usual tools for computing special functions are power series, asymptotic expansions, continued fractions, differential equations, recursions, and so on…”
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Locating and computing in parallel all the simple roots of special functions using PVM Autor Plagianakos, V.P., Nousis, N.K., Vrahatis, M.N.

“…An algorithm is proposed for locating and computing in parallel and with certainty all the simple roots of any twice continuously differentiable function in…”
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Numerical algorithms for uniform Airy-type asymptotic expansions Autor Temme, N.M.

“…Airy-type asymptotic representations of a class of special functions are considered from a numerical point of view. It is well known that the evaluation of the…”
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Convergence Acceleration of Taylor Sections by Convolution Autor Müller, J.

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