Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes
We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F? This question is address...
Main Authors: | Bandura Andriy, Skaskiv Oleh |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2019-02-01
|
Series: | Demonstratio Mathematica |
Subjects: | |
Online Access: | https://doi.org/10.1515/dema-2019-0008 |
Similar Items
-
Slice Holomorphic Functions in Several Variables with Bounded <i>L</i>-Index in Direction
by: Andriy Bandura, et al.
Published: (2019-07-01) -
Slice Holomorphic Functions in the Unit Ball Having a Bounded <i>L</i>-Index in Direction
by: Andriy Bandura, et al.
Published: (2021-12-01) -
Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables
by: V.P. Baksa
Published: (2019-12-01) -
Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem
by: Andriy Bandura, et al.
Published: (2018-12-01) -
Slice holomorphic solutions of some directional differential equations with bounded L-index in the same direction
by: Bandura Andriy, et al.
Published: (2019-12-01)