On the generalization of the Lambert $W$ function
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- by István Mező and Árpád Baricz PDF
- Trans. Amer. Math. Soc. 369 (2017), 7917-7934 Request permission
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 this paper we construct and study in great detail a generalization of the Lambert $W$ which involves some special polynomials and even combinatorial aspects.References
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Additional Information
- István Mező
- Affiliation: Department of Mathematics, Nanjing University of Information Science and Technology, No. 219 Ningliu Rd, Nanjing, Jiangsu, People’s Republic of China
- Email: istvanmezo81@gmail.com
- Árpád Baricz
- Affiliation: Institute of Applied Mathematics, Óbuda University, 1034 Budapest, Hungary – and – Department of Economics, Babeş-Bolyai University, 400591 Cluj-Napoca, Romania
- MR Author ID: 729952
- Email: bariczocsi@yahoo.com
- Received by editor(s): April 13, 2015
- Received by editor(s) in revised form: December 9, 2015
- Published electronically: April 13, 2017
- Additional Notes: The research of the first author was supported by the Scientific Research Foundation of Nanjing University of Information Science & Technology, the Startup Foundation for Introducing Talent of NUIST, Project no. S8113062001, and the National Natural Science Foundation for China, Grant no. 11501299.
The work of the second author was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. - © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 369 (2017), 7917-7934
- MSC (2010): Primary 33E99
- DOI: https://doi.org/10.1090/tran/6911
- MathSciNet review: 3695849