A numerical algorithm for the evaluation of Weber parabolic cylinder functions U(a,x), V(a,x), and W(a,+-x)

DOI10.1016/0021-9991(81)90241-2zbMath0474.65013OpenAlexW1981617812WikidataQ57971795 ScholiaQ57971795MaRDI QIDQ1158924

Z. Schulten, Donald G. M. Anderson, Roy. G. Gordon

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90241-2

zbMATH Keywords

uniform asymptotic expansionsnumerical evaluationcomplex recurrence relationsWeber's parabolic cylinder functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Application of generalized Padé approximants to the special function evaluation problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the calculation of the parabolic cylinder functions. II: The function V(a,x)
• On certain special functions that arise in the solution of ordinary differential equations by asymptotic methods
• On the calculation of the parabolic cylinder functions
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• Second-order linear differential equations with two turning points
• On an iterative approach to the numerical solution of difference schemes
• An analytic approximation method for the one-dimensional Schrödinger equation.II
• A WKB-Type Approximation to the Schrödinger Equation

This page was built for publication: A numerical algorithm for the evaluation of Weber parabolic cylinder functions U(a,x), V(a,x), and W(a,+-x)