4 papers
math.NT2018
Summing Lambert Series in Euler's q-Exponential Functions
Ruiming Zhang
In the work we shall present formulas to sum Lambert series using Euler's q-exponential functions, and several Lambert series associated with well-known arithmetic functions are gi…
math.GM2009
Scaled Asymptotics for Some q-Series as q Approaches One
Ruiming Zhang
In this work we investigate Plancherel-Rotach type asymptotics for some -series as . These -series generalize Ramanujan function (-Airy function), Jackso…
math.CA2007
Scaled Asymptotics For Some -Series As Approaching Unit
Ruiming Zhang
In this work we investigate Plancherel-Rotach type asymptotics for some -series as . These -series generalize Ramanujan function ; Jackson's -Bessel funct…
math.CA2006
Plancherel-Rotach Asymptotics for -Series
Ruiming Zhang
In this work we study the Plancherel-Rotach type asymptotics for selected -series and -orthogonal polynomials with complex scalings. The -series we cover are Euler's -e…