An Umbral Calculus Approach to Bernoulli–Padé Polynomials

Dae San Kim () and Taekyun Kim ()
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Dae San Kim: Sogang University
Taekyun Kim: Kwangwoon University

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 363-382 from Springer

Abstract: Abstract 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.

Keywords: Bernoulli–Padé polynomials; Umbral calculus (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_16

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DOI: 10.1007/978-3-319-31281-1_16

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