Cover Image

On one class of quaternionic mappings

We consider a new class of quaternionic mappings associated with spatial partial differential equations. We obtain a description of all mappings from this class by using four analytic functions of complex variable.

Saved in:

Bibliographic Details
Date:	2016
Main Authors:	Kuz’menko, T. S., Shpakovskii, V. S., Кузьменко, Т. С., Шпаківський, В. С.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1826
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On one class of quaternionic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)

On monogenic mappings of a quaternionic variable
by: V. S. Shpakovskij, et al.
Published: (2016)

Generalized integral theorems for the quaternionic G-monogenic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)

The Taylor and Laurent series in the algebra of complex quaternions
by: T. S. Kuzmenko
Published: (2015)

On the Boundary Behavior of One Class of Mappings in Metric Spaces
by: Afanas'eva, E. S., et al.
Published: (2014)

The inverse Poletsky inequality in one class of mappings
by: Ye. O. Sevostianov
Published: (2022)

On local behavior of one class of inverse mappings
by: E. A. Sevostjanov, et al.
Published: (2018)

On the lower estimate of the distortion of distance for one class of mappings
by: R. R. Salimov, et al.
Published: (2018)

On the Boundary Behavior of One Class of Mappings in Metric Spaces
by: E. S. Afanaseva
Published: (2014)

On local properties of one class of mappings on Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2015)

On the lower estimate of the distortion of distance for one class of mappings
by: Markish, A. A., et al.
Published: (2018)

Generalization of one Poletskii lemma to classes of space mappings
by: Sevost'yanov, E. A., et al.
Published: (2009)

Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
by: A. Jeribi, et al.
Published: (2023)

Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
by: Jeribi, Aref, et al.
Published: (2023)

Generalized Euler equations in quaternions
by: Koshlyakov, V. N., et al.
Published: (1994)

On the behavior of one class of mappings acting upon domains with locally quasiconformal boundary
by: Sevost’yanov, E., et al.
Published: (2024)

On the behavior of one class of mappings acting upon domains with locally quasiconformal boundary
by: Ye. Sevost’yanov, et al.
Published: (2024)

Frames in Quaternionic Hilbert Spaces
by: K. S. Sharma, et al.
Published: (2019)

On the theory of one-sheeted conformal mappings realized by some classes of the Nevanlinna analytical functions
by: Todorov, P. G., et al.
Published: (1970)

Synthesis of matrix representations of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2014)

Note on quaternion linear dynamical systems
by: N. Dilna, et al.
Published: (2023)

Quaternion Analysis of the Modes of Electrical Systems
by: S. I. Klipkov
Published: (2019)

Quaternionic fractional Fourier transform for Boehmians
by: R. Roopkumar
Published: (2020)

Quaternionic fractional Fourier transform for Boehmians
by: Roopkumar, R., et al.
Published: (2020)

Class mapping: tradition and innovation
by: E. Simonchuk
Published: (2016)

Class mapping: tradition and innovation
by: O. Symonchuk
Published: (2016)

The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
by: Johnson-Freyd, T.
Published: (2016)

Fundamental solutions of the Stokes system in quaternion analysis
by: D. C. Dinh
Published: (2022)

Bounds for the right spectral radius of quaternionic matrices
by: I. Ali
Published: (2020)

Quaternion Determination of Attitude based on Measurement of Vectors
by: L. M. Ryzhkov
Published: (2021)

Bounds for the right spectral radius of quaternionic matrices
by: Ali, I., et al.
Published: (2020)

Fundamental solutions of the Stokes system in quaternion analysis
by: Dinh, Doan Cong, et al.
Published: (2026)

An Analog of the Poincaré Model for a Quaternion Hyperbolic Space
by: Volchkov, V. V., et al.
Published: (2001)

On countable-to-one B-measurable mappings
by: O. V. Safonova
Published: (2017)

On One Class of Matrix Topological *-Algebras
by: Tishchenko, S. V., et al.
Published: (2001)

On one class of algebras
by: Zhuchok, Yuliia V.
Published: (2018)

On one class of algebras
by: Yu. V. Zhuchok
Published: (2014)

On one class of algebras
by: Zhuchok, Yul.V.
Published: (2014)

Slice entire functions of quaternionic variable of bounded index
by: Baksa , V., et al.
Published: (2026)

On a class of mappings in metric spaces
by: E. S. Afanaseva
Published: (2013)