Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Demonstratio Mathematica

1 2019

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: slice function

Sortuj według:

Ogranicz wyniki do:

Slice holomorphic solutions of some directional differential equations with bounded L-index in the same direction

Bandura Andriy, Skaskiv Oleh, Smolovyk Liana

Demonstratio Mathematica

2019

Vol. 52, nr 1

482--489

In the paper we investigate slice holomorphic functions F : Cn→C having bounded L-index in a direction, i.e. these functions are entire on every slice {z0 +tb : t∈C} for an arbitrary z0∈Cn and for the fixed direction b∈Cn \ {0}, and (∃m0∈Z+) (∀m∈Z+) (∀z∈Cn) the following inequality holds [wzór], where L : Cn→R+ is a positive continuous function, [wzór] for p≥2. Also, we consider index boundedness in the direction of slice holomorphic solutions of some partial differentia equations with partial derivatives in the same direction. There are established sufficient conditions providing the boundedness of L-index in the same direction for every slie holomorphic solutions of these equations.