12 citations · 18 across the 4 of their papers we have counts for
4 papers · 1 filter
Towards a change of variable formula for "hypergeometrization"
Petr Blaschke
We are going to study properties of "hypergeometrization" -- an operator which act on analytic functions near the origin by inserting two Pochhammer symbols into their Taylor serie…
Asymptotic root distribution of Charlier polynomials with large negative parameter
Petr Blaschke, František Štampach
We analyze the asymptotic distribution of roots of Charlier polynomials with negative parameter depending linearly on the index. The roots cluster on curves in the complex plane. W…
The asymptotic zero distribution of Lommel polynomials as polynomials of the order with a variable complex argument
Petr Blaschke, František Štampach
We study the asymptotic distribution of roots of Lommel polynomials as polynomials of the order with a variable and purely imaginary argument. The roots are complex and accumulate…
Hypergeometric form of Fundamental theorem of calculus
Petr Blaschke
We introduce a natural method of computing antiderivatives of a large class of functions which stems from the observation that the series expansion of an antiderivative differs fro…