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arXiv · 1408.3999

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

István Mező·Árpád Baricz
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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.

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István Mező, Árpád Baricz. 2014-08-18. On the generalization of the Lambert $W$ function with applications in theoretical physics. https://arxiv.org/abs/1408.3999

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