ON THE GENERALIZATION OF THE LAMBERT W FUNCTION

ON THE GENERALIZATION OF THE LAMBERT W FUNCTION

The Lambert W function, giving the solutions of a simple transcendental equation, has become a famous function and arises in many applications in combinatorics, physics, or population dyamics just to mention a few. In this paper we construct and study in great detail a generalization of the Lambert...

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Veröffentlicht in:Transactions of the American Mathematical Society 2017-11, Vol.369 (11), p.7917-7934
Hauptverfasser: MEZŐ, ISTVÁN, BARICZ, ÁRPÁD
Format: Artikel
Sprache:eng
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Zusammenfassung:The Lambert W function, giving the solutions of a simple transcendental equation, has become a famous function and arises in many applications in combinatorics, physics, or population dyamics just to mention a few. In this paper we construct and study in great detail a generalization of the Lambert W which involves some special polynomials and even combinatorial aspects.
ISSN:0002-9947
1088-6850