Slice entire functions of quaternionic variable of bounded index
UDC 517.55+512.78 We continue our investigations of the local properties of entire slice regular functions of quaternionic variable. For this class of functions, we introduce the notion of index. The boundedness of index is characterized by the local behavior of the maximum modulus of slice de...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | Baksa , V., Bandura, A., Skaskiv, O., Бакса, Віта, Бандура, Андрій, Скасків, Олег |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8927 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Boundedness of the $L$-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball
by: Bandura, A., et al.
Published: (2024)
by: Bandura, A., et al.
Published: (2024)
Boundedness of the L-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball
by: A. Bandura, et al.
Published: (2024)
by: A. Bandura, et al.
Published: (2024)
Local properties of entire functions of bounded index in a frame
by: Bandura, A. I., et al.
Published: (2022)
by: Bandura, A. I., et al.
Published: (2022)
Boundedness of $L$-index for the composition of entire functions of several variables
by: Bandura, A. І., et al.
Published: (2018)
by: Bandura, A. І., et al.
Published: (2018)
Directional logarithmic derivative and the distribution of zeros of
an entire function of bounded $L$-index in the direction
by: Bandura, A. І., et al.
Published: (2017)
by: Bandura, A. І., et al.
Published: (2017)
Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables
by: A. Bandura, et al.
Published: (2019)
by: A. Bandura, et al.
Published: (2019)
Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables
by: Bandura, A., et al.
Published: (2019)
by: Bandura, A., et al.
Published: (2019)
Growth of entire functions of bounded L -index in direction
by: A. I. Bandura, et al.
Published: (2017)
by: A. I. Bandura, et al.
Published: (2017)
Boundedness of $l$-index and completely regular growth of entire functions
by: Bandura, A. I., et al.
Published: (2020)
by: Bandura, A. I., et al.
Published: (2020)
Local properties of entire functions of bounded index in a frame
by: A. I. Bandura, et al.
Published: (2022)
by: A. I. Bandura, et al.
Published: (2022)
Boundedness of L-index for the composition of entire functions of several variables
by: A. I. Bandura, et al.
Published: (2018)
by: A. I. Bandura, et al.
Published: (2018)
Directional logarithmic derivative and the distribution of zeros of an entire function of bounded L-index in the direction
by: A. I. Bandura, et al.
Published: (2017)
by: A. I. Bandura, et al.
Published: (2017)
Analogs of Fricke's theorems for analytic vector-valued functions in the unit ball havin bounded L-index in joint variables
by: V. P. Baksa, et al.
Published: (2019)
by: V. P. Baksa, et al.
Published: (2019)
Analytic in an unit ball functions of bounded L-index in joint variables
by: A. I. Bandura, et al.
Published: (2017)
by: A. I. Bandura, et al.
Published: (2017)
Analytic in an unit ball functions of bounded L-index in joint variables
by: Bandura, A.I., et al.
Published: (2017)
by: Bandura, A.I., et al.
Published: (2017)
Entire bivariate functions of unbounded index in each direction
by: A. Bandura, et al.
Published: (2018)
by: A. Bandura, et al.
Published: (2018)
Entire bivariate functions of unbounded index in each direction
by: Bandura, A.I., et al.
Published: (2018)
by: Bandura, A.I., et al.
Published: (2018)
Analytic in DxC functions of bounded L-index in joint variables
by: A. I. Bandura, et al.
Published: (2017)
by: A. I. Bandura, et al.
Published: (2017)
Boundedness of l-index and completely regular growth of entire functions
by: A. I. Bandura, et al.
Published: (2020)
by: A. I. Bandura, et al.
Published: (2020)
Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables
by: A. I. Bandura, et al.
Published: (2018)
by: A. I. Bandura, et al.
Published: (2018)
Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables
by: Bandura, A.I., et al.
Published: (2018)
by: Bandura, A.I., et al.
Published: (2018)
On the existence of entire functions of bounded l-index and l-regular growth
by: Bordulyak, M. T., et al.
Published: (1996)
by: Bordulyak, M. T., et al.
Published: (1996)
A note on meromorphic functions with finite order and of bounded l-index
by: А. Bandura
Published: (2021)
by: А. Bandura
Published: (2021)
Bounds for the right spectral radius of quaternionic matrices
by: I. Ali
Published: (2020)
by: I. Ali
Published: (2020)
Bounds for the right spectral radius of quaternionic matrices
by: Ali, I., et al.
Published: (2020)
by: Ali, I., et al.
Published: (2020)
On monogenic mappings of a quaternionic variable
by: V. S. Shpakovskij, et al.
Published: (2016)
by: V. S. Shpakovskij, et al.
Published: (2016)
Boundedness of the l-Index of Laguerre–Pólya Entire Functions
by: Bordulyak, M. T., et al.
Published: (2003)
by: Bordulyak, M. T., et al.
Published: (2003)
Generalization of the fricke theorem on entire functions of finite index
by: Sheremeta, M. M., et al.
Published: (1996)
by: Sheremeta, M. M., et al.
Published: (1996)
On a class of entire functions of many variables
by: Geche, F. I., et al.
Published: (1966)
by: Geche, F. I., et al.
Published: (1966)
On Sets with Extremely Big Slices
by: Ivakhno, Ye.
Published: (2006)
by: Ivakhno, Ye.
Published: (2006)
Algebras of entire symmetric functions on spaces of Lebesgue measurable essentially bounded functions
by: T. V. Vasylyshyn
Published: (2017)
by: T. V. Vasylyshyn
Published: (2017)
On the Stability of the Maximum Term of the Entire Dirichlet Series
by: Skaskiv, O. B., et al.
Published: (2005)
by: Skaskiv, O. B., et al.
Published: (2005)
Real Slices of SL(, ℂ)-Opers
by: Biswas, Indranil, et al.
Published: (2023)
by: Biswas, Indranil, et al.
Published: (2023)
Homomorphisms of algebras of entire functions of bounded type on a Banach space
by: A. V. Zahorodniuk, et al.
Published: (2013)
by: A. V. Zahorodniuk, et al.
Published: (2013)
On the finiteness of the l-R-index of entire functions represented by series in а system of functions
by: M. Sheremeta
Published: (2024)
by: M. Sheremeta
Published: (2024)
On the finiteness of the $l$-$\mathfrak{M}$-index of entire functions represented by series in а system of functions
by: Sheremeta, M., et al.
Published: (2024)
by: Sheremeta, M., et al.
Published: (2024)
Solutions of systems of nonlinear functional-differential equations bounded in the entire real axis and their properties
by: Pelyukh, G. P., et al.
Published: (1994)
by: Pelyukh, G. P., et al.
Published: (1994)
Extracting Synchronization-free Slices in Perfectly Nested Loops
by: Bielecki, W., et al.
Published: (2007)
by: Bielecki, W., et al.
Published: (2007)
Finding Sources of Synchronizationfree Slices in Perfectly Nested Loops
by: Bielecki, W., et al.
Published: (2007)
by: Bielecki, W., et al.
Published: (2007)
Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis
by: Boichuk, А. A., et al.
Published: (2002)
by: Boichuk, А. A., et al.
Published: (2002)
Similar Items
-
Boundedness of the $L$-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball
by: Bandura, A., et al.
Published: (2024) -
Boundedness of the L-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball
by: A. Bandura, et al.
Published: (2024) -
Local properties of entire functions of bounded index in a frame
by: Bandura, A. I., et al.
Published: (2022) -
Boundedness of $L$-index for the composition of entire functions of several variables
by: Bandura, A. І., et al.
Published: (2018) -
Directional logarithmic derivative and the distribution of zeros of
an entire function of bounded $L$-index in the direction
by: Bandura, A. І., et al.
Published: (2017)