Computation of parabolic cylinder functions by means of a Tricomi expansion

DOI10.1016/0021-9991(81)90211-4zbMath0466.65016OpenAlexW1984030544MaRDI QIDQ1155327

S. H. Smith

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)90211-4

zbMATH Keywords

Kummer confluent hypergeometric functionparabolic cylinder functionsTricomi functionsWeber functionsTricomi expansion

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Tables in numerical analysis (65A05)

Related Items (1)

Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions

Cites Work

• On the calculation of the parabolic cylinder functions. II: The function V(a,x)
• On the calculation of the parabolic cylinder functions
• Sulle funzioni ipergeometriche confluenti

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