Useful properties of the coefficients of the Slevinsky-Safouhi formula for differentiation

DOI10.1007/s11075-013-9743-6zbMath1301.26008OpenAlexW2018029404MaRDI QIDQ398584

Hassan Safouhi, Richard Mikael Slevinsky

Publication date: 15 August 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9743-6

zbMATH Keywords

gamma functiongenerating functionsasymptoticsgeneralized Stirling numbersSlevinsky-Safouhi formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical differentiation (65D25) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

A recursive algorithm for an efficient and accurate computation of incomplete Bessel functions

Cites Work

• A recursive algorithm for the \(G\) transformation and accurate computation of incomplete Bessel functions
• New formulae for higher order derivatives and applications
• Modified approach to generalized Stirling numbers via differential operators
• A unified approach to generalized Stirling numbers
• Computation of Tail Probabilities via Extrapolation Methods and Connection with Rational and Padé Approximants
• Asymptotic Estimates of Stirling Numbers
• A New Method for Approximating Improper Integrals
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