2 papers
math.NT2020
Explicit transformations of certain Lambert series
Atul Dixit, Aashita Kesarwani, Rahul Kumar
An exact transformation, which we call the \emph{master identity}, is obtained for the first time for the series for and Re$(y…
math.NT2017
A generalized modified Bessel function and a higher level analogue of the theta transformation formula
Atul Dixit, Aashita Kesarwani, Victor H. Moll +1
A new generalization of the modified Bessel function of the second kind is studied. Elegant series and integral representations, a differential-difference equation and a…