14 citations · 51 across the 9 of their papers we have counts for
9 papers
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…
Pedal coordinates and free double linkage
Petr Blaschke, Filip Blaschke, Martin Blaschke
Using the technique of pedal coordinates we investigate the orbits of a free double linkage. We provide a geometrical construction for them and also show a surprising connection be…
Pedal coordinates, solar sail orbits, Dipole drive and other force problems
Petr Blaschke
It was shown that pedal coordinates provides natural framework in which to study force problems of classical mechanics in the plane. A trajectory of a test particle under the influ…
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…
On symmetries of the Gibbons-Tsarev equation
H. Baran, P. Blaschke, I. S. Krasil'shchik +1
We study the Gibbons-Tsarev equation and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of…
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…
Classical corrections to black hole entropy in dimensions: a rear window to quantum gravity?
Martin Blaschke, Zdeněk Stuchlík, Filip Blaschke +1
We provide a simple derivation of the corrections for Schwarzschild and Schwarzschild-Tangherlini black hole entropy without knowing the details of quantum gravity. We will follow…
Pedal coordinates, Dark Kepler and other force problems
Petr Blaschke
We will make the case that \textit{pedal coordinates} (instead of polar or Cartesian coordinates) are more natural settings in which to study force problems of classical mechanics…