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An umbral calculus approach to Bernoulli-Padé polynomials. (English) Zbl 1370.41026

Rassias, Themistocles M. (ed.) et al., Mathematical analysis, approximation theory and their applications. Cham: Springer (ISBN 978-3-319-31279-8/hbk; 978-3-319-31281-1/ebook). Springer Optimization and Its Applications 111, 363-382 (2016).
Summary: In this paper, we consider Bernoulli-Padé polynomials of fixed order whose generating function is based on the Padé approximant of the exponential function. We derive, by using umbral calculus techniques, several recurrence relations for these polynomials and investigate connections between our polynomials and several known families of polynomials.
For the entire collection see [Zbl 1348.00048].

MSC:

41A21 Padé approximation
30E10 Approximation in the complex plane
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