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

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Abstract

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.

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Authors and Affiliations

  1. Mathematical Section, Campus Saint-Jean, University of Alberta, 8406, 91 Street, Edmonton, AB, Canada T6C 4G9

    Richard M. Slevinsky & Hassan Safouhi

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  1. Richard M. Slevinsky
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  2. Hassan Safouhi
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Correspondence to Hassan Safouhi.

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Slevinsky, R.M., Safouhi, H. Useful properties of the coefficients of the Slevinsky-Safouhi formula for differentiation. Numer Algor 66, 457–477 (2014). https://doi.org/10.1007/s11075-013-9743-6

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  • DOI: https://doi.org/10.1007/s11075-013-9743-6

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