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

作者：Slevinsky Richard M; Safouhi Hassan^*

来源：Numerical Algorithms, 2014, 66(3): 457-477.

DOI：10.1007/s11075-013-9743-6

• The Slevinsky-Safouhi formula
• Generalized Stirling numbers
• Generating functions
• Asymptotics

Properties of coefficients of the Slevinsky-Safouhi formula are derived. These properties are: matrix and orthogonality properties; the characterization of a zero array; generating functions; asymptotics; and, recurrence relations for computing a sum as efficiently as possible. These properties are useful in a numerical or computational setting.

• 出版日期2014-7