Generalized exponential operators in the continuation of the confluent hypergeometric functions

DOI10.1016/0021-9991(81)90042-5zbMath0474.65012OpenAlexW2062028045MaRDI QIDQ1158921

Riho Terras

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)90042-5

zbMATH Keywords

Bessel functionsconfluent hypergeometric functionsMiller formulageneralized exponential operatorssuccessive continuation procedures

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Computing the Hilbert class field of real quadratic fields

Cites Work

• A Miller algorithm for an incomplete Bessel function
• Numerical evaluation of oscillatory integrals such as the modified Bessel function \(K_{i\zeta}(x)\)
• On the numerical evaluation of the modified Bessel function of the third kind
• The determination of incomplete gamma functions through analytic integration
• New Backward Recurrences for Bessel Functions
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