Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Petr Blaschke"'
Autor:
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. We determine implicit equations for these curves and deduce the limitin
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f542e52f598fc33eb9ae97db0bf457a6
http://arxiv.org/abs/2210.16922
http://arxiv.org/abs/2210.16922
Autor:
Petr Blaschke
Publikováno v:
Integral Transforms and Special Functions. 30:743-773
Using only simple tools of a version of matrix calculus we describe a way how to generate series expansions of hypergeometric functions of one (or two) matrix argument(s) in a straightforward manne...
The aim of this article is to assess the innovation performance of innovative small, medium-sized, and large enterprises operating in the manufacturing industry in two European countries – the Czech Republic (CR) and Finland, and to determine their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b5400d608e8112150d1548caa176d63
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 between this mechanical system and orbits around a Black Hole and soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::964de930b6df939b37e02d5d78176dc4
Autor:
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 influence of central and Lorentz-like forces can be translated into pedal c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c01a1ec87b23d2eb0f495917d52a335b
Autor:
Petr Blaschke
Publikováno v:
Journal of Mathematical Analysis and Applications. 433:1790-1820
The generalized hypergeometric function satisfies many identities or “transforms” which can be used to establish their asymptotic behavior for large argument and even, in some cases, for large parameters. We will show that using just three transf
Autor:
František Štampach, Petr Blaschke
Publikováno v:
Journal of Mathematical Analysis and Applications. 490:124238
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 certain curves in the complex plane. We prove existence of the weak
We study the Gibbons-Tsarev equation $z_{yy} + z_x z_{xy} - z_y z_{xx} + 1 = 0$ and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of nonlocal symmetries in the covering associated with these conservation
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7aa179465e44a02dcc3f4e67e5b6c70a
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 Bekenstein, Wheeler and Jaynes ideas, using summations techniques with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c33ada94319c07c162467a6d732b3e2
http://arxiv.org/abs/1711.05460
http://arxiv.org/abs/1711.05460
Autor:
Jiří Jahn, Petr Blaschke
Publikováno v:
Journal of Functional Analysis. 268:3790-3833
We describe the asymptotic behavior of the Berezin transform of two arguments which generalizes the standard notion of the Berezin transform. The asymptotic analysis we give is in the setting of the holomorphic and the harmonic Fock spaces, respectiv