Euler Functions Eα(z) with Complex α and Applications

Paul L. Butzer, Stefan Flocke and Michael Hauss
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Paul L. Butzer: RWTH Aachen, Lehrstuhl A für Mathematik
Stefan Flocke: RWTH Aachen, Lehrstuhl A für Mathematik
Michael Hauss: RWTH Aachen, Lehrstuhl A für Mathematik

A chapter in Approximation, Probability, and Related Fields, 1994, pp 127-150 from Springer

Abstract: Abstract The aim of this paper is to extend the Euler polynomials E n (x), which may be defined in terms of their exponential generating function via 1 $$ \frac{{2{e^{xw}}}}{{{e^w} + 1}} = \sum\limits_{n = 0}^\infty {\frac{{{E_n}\left( x \right)}}{{n!}}} {w^n}{\text{ }}\left( {x \in \mathbb{R};\left| w \right|

Keywords: Fractional Order; Euler Number; Fractional Order Derivative; Euler Polynomial; Euler Function (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-2494-6_9

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DOI: 10.1007/978-1-4615-2494-6_9

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