6 citations · 10 across the 10 of their papers we have counts for
10 papers
An integral representation for the Lambert W function
István Mező
Based on a Problem and its solution published on the pages of SIAM Review, we give an interesting integral representation for the Lambert function in this short note. In partic…
The -adic Lambert function
István Mező
In this paper we introduce the -adic analogue of the Lambert function, and study its main properties.
The Fourier series of the log-Barnes function
István Mező
In this paper we determine the Fourier series expansion of the log-Barnes function. This is the analogue of the classical result of Kummer and Malmsten. Applying this expansion we…
Asymptotics of the modes of the ordered Stirling numbers
István Mező
It is known that the Stirling numbers as well as the ordered Stirling numbers form log-concave sequences. Although in the first case there are many estimations…
A note on the zeros and local extrema of Digamma related functions
István Mező
Little is known about the zeros of the Digamma function. Establishing some Weierstrassian infinite product representations for a given regularization of the Digamma function we fin…
Some possible -generalizations of harmonic numbers
István Mező
We study three different -analogues of the harmonic numbers. As applications, we present some generating functions involving number theoretical functions and give the -genera…