3 citations · 9 across the 12 of their papers we have counts for
8 papers · 1 filter
Some observations on a Kapteyn series
Diego Dominici
We study the Kapteyn series . We find a…
Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite
Diego Dominici
We analyze the Hermite polynomials and their zeros asymptotically as using the limit relation between the Charlier and Hermite polynomials. Our formulas in…
Asymptotic analysis of powers of matrices
Diego Dominici
We analyze the representation of as a linear combination of where is a matrix. We obtain a first order asymptotic approximation o…
Some remarks on a paper by L. Carlitz
Diego Dominici
We study a family of orthogonal polynomials which generalizes a sequence of polynomials considered by L. Carlitz. We show that they are a special case of the Sheffer polynomials an…
Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
Diego Dominici
We analyze the Charlier polynomials C(n,x)and their zeros asymptotically for large n. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charl…
Nested Derivatives: A simple method for computing series expansions of inverse functions
Diego Dominici
We give an algorithm to compute the series expansion for the inverse of a given function. The algorithm is extremely easy to implement and gives the first terms of the series.…