Numerical computation of Tricomi's psi function by the trapezoidal rule

DOI10.1007/BF02309560zbMath0618.65009OpenAlexW62374891MaRDI QIDQ1822445

Giampietro Allasia, Renata Besenghi

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02309560

zbMATH Keywords

iterative algorithmEuler gamma functiondigamma functionhigh accuracytrapezoidal ruleEuler-Maclaurin formulacomplementary incomplete gamma functionintegral representation of Tricomi's psi function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (1)

Numerical methods for the computation of the confluent and Gauss hypergeometric functions

Cites Work

• Numerical calculation of incomplete gamma functions by the trapezoidal rule
• The numerical computation of the confluent hypergeometric function U(a,b,z)
• On the computation of Tricomi's \(\psi\) function
• The special functions and their approximations. Vol. I, II
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