2023/07/10 by Eweis, S. Z. H., Mansour, Z. S. I.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2307.04373
In earlier work, we introduced three families of polynomials where the generating function of each set includes one of the three Jackson q-analogs of the Bessel function. This paper gives determinant representation for each family, their large n asymptotics, and two expansion theorems for specific classes of entire functions. We include two examples.