The $p$-adic Lambert $W$ function
Istv\'an Mez\H{o}
TL;DR
This paper introduces the $p$-adic Lambert $W$ function, exploring its fundamental properties and laying the groundwork for future research in $p$-adic analysis and special functions.
Contribution
It is the first to define and analyze the $p$-adic Lambert $W$ function, extending classical analysis into the $p$-adic setting.
Findings
Defined the $p$-adic Lambert $W$ function
Established basic properties and behaviors
Opened new avenues for $p$-adic special functions
Abstract
In this paper we introduce the -adic analogue of the Lambert function, and study its main properties.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies