On the generalization of the Lambert W function with applications in theoretical physics

2014/08/18 by István Mező, Mező, István, Árpád Baricz +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #Experimental and Theoretical Physics Studies #FOS: Mathematics #Sports Dynamics and Biomechanics #math.CA

paper · pdf · doi:10.48550/arxiv.1408.3999

Physical applications moved (and extended) to ArXiv: 1505.01555

openalex publication_date 2014/08/18 · arxiv created 2015/06/22 · arxiv updated 2015/06/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 the last decade it turned out that some specific relativistic equations and molecular physics problems need solutions of more general transcendental equations. Thus a generalization of the Lambert function is necessary. In this paper we construct this generalization which involves some special polynomials.

Citations

• Having Fun with Lambert W(x) Function
• Derivation of Bell Polynomials of the Second Kind

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