On the paper ``A continued fraction approximation of the modified Bessel function \(I_ 1(t)\) by P. R. Parthasarathy and N. Balakrishnan

DOI10.1016/0893-9659(91)90143-JzbMath0733.65010MaRDI QIDQ809538

Walter Gautschi

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

continued fractionmodified Bessel functionGauss-Radau quadratureGauss-Chebyshev quadrature

Mathematics Subject Classification ID

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

Uses Software

• Algorithm 597
• Algorithm 236
• IBESS JBESS

Cites Work

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• Numerical evaluation of the modified Bessel functions I and K
• Algorithm 597
• Further Comments on the Computation of Modified Bessel Function Ratios
• Evaluation and Inversion of the Ratios of Modified Bessel Functions, I ₁ ( x ) / I ₀ ( x ) and I _1.5 ( x )/ I _0.5 ( x )
• CDC 6600 Subroutines IBESS and JBESS for Bessel Functions I _υ (x) and J _υ (x), x≥0,υ≥0
• On the Computation of Modified Bessel Function Ratios
• Calculation of Gauss Quadrature Rules
• Some Modified Matrix Eigenvalue Problems
• A continued fraction approximation of the modified Bessel function \(I_ 1(t)\)