Integral representations for computing real parabolic cylinder functions

DOI10.1007/S00211-004-0517-XzbMath1054.65023arXivmath/0401131OpenAlexW2016864277MaRDI QIDQ1882556

Javier Segura, Nico M. Temme, Amparo Gil

Publication date: 1 October 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401131

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05)

Related Items (3)

Computation of parabolic cylinder functions having complex argument ⋮ Product of parabolic cylinder functions involving Laplace transforms of confluent hypergeometric functions ⋮ Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations

Cites Work

• Numerical and asymptotic aspects of parabolic cylinder functions
• Steepest descent paths for integrals defining the modified Bessel functions of imaginary order
• On nonoscillating integrals for computing inhomogeneous Airy functions
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
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