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On generalized Dhombres equations with non-constant rational solutions in the complex plane
We characterize the generalized Dhombres functional equations f (zf (z)) = phi(f (z)) which have a non-constant rational solution f(0), holomorphic at 0 function, holomorphic at w(0). All rational solutions of such...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Local analytic solutions of the generalized Dhombres functional equation II
We study local analytic solutions f of the generalized Dhombres functional equation f (zf (z)) = g(f (z)), where g is holomorphic at w not equal 0, f is holomorphic in some open neighborhood of 0, depending on f, and f (0) ...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The holomorphic solutions of the generalized Dhombres functional equation
We study holomorphic solutions f of the generalized Dhombres equation f(zf(z-E'. We also show that for polynomial g any holomorphic solution on the punctured in E - E', any solution f vanishes at 0 and hen...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On fundamental equations of geodesic mappings and their generalizations
The present work is devoted to problems of solving the fundamental equations of geodesic, holomorphically projective mappings and some generalizations; the problems of existence of solutions of these equations is related to the exis...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The Radon transform between monogenic and generalized slice monogenic functions
), the authors describe a link between holomorphic functions depending on a parameter for functions with values in the Clifford algebra is mapping solutions of the generalized of holomorphic functions with values in and, an...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Yang-Mills bar connections over compact Kähler manifolds
to the Koszul-Malgrange criterion any holomorphic structure on E can be seen as a solution to this equation. We show the existence of a non-trivial solution to this equation over compact bar gradient flow. We also show a r...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On holomorphically projective mappings of Einstein parabolically-Kaehlerian spaces.
In this paper we consider holomorphically projective mappings of the Einstein parabolically-Kaehlerian spaces. We proved that the Einstein parabolically-Kaehlerian spaces with non zero scalar curvature do not admit nontrivial holomorphic...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Differential equations and holomorphic functions - the use of mutual relationship
The contibution describes one interesting relationship between ordinary differential equations and holomorphic functions. Orthogonal trajectories of differential equations are transformed to another orthogonal grids by a convenient holom...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Holomorphically projective mappings preserving the Einstein tensor
In this paper there are discussed the holomorphically projective mappings which preserved the Einstein tensor. We proved that the tensor of h-concircular curvature is invariant under Einstein tensor-preserving holomorphically projec...
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
On composition of conformal and holomorphically projective mappings between conformally Kählerian spaces.
In this paper we study general properties of composition conformal and holomorphically projective mappings f (i.e. f = f1circ f2 circ f3, where f1, f3 are conformal mappings and f2 is a holomorphically projective mapping) between co...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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