Abstract
Based on the theory of cardinal exponential splines this paper presents a useful complex contour integral representation with non-compact integration path for the Euler-Frobenius polynomials. These polynomials are well known from the theory of attenuation factors in numerical Fourier analysis. It is shown that the contour integral approach to the Euler-Frobenius polynomials allows to deduce in a simple way all their fundamental properties.
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Literatur
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© 1983 Springer Basel AG
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Schempp, W. (1983). Euler-Frobenius-Polynome. In: Collatz, L., Meinardus, G., Werner, H. (eds) Numerical Methods of Approximation Theory, Vol. 7 / Numerische Methoden der Approximationstheorie, Band 7. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse numérique, vol 67. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6743-6_12
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DOI: https://doi.org/10.1007/978-3-0348-6743-6_12
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-6743-6
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