Next Article in Journal
A New Approach to Identifying a Multi-Criteria Decision Model Based on Stochastic Optimization Techniques
Next Article in Special Issue
Some Results of Fekete-Szegö Type. Results for Some Holomorphic Functions of Several Complex Variables
Previous Article in Journal
Are MCDA Methods Benchmarkable? A Comparative Study of TOPSIS, VIKOR, COPRAS, and PROMETHEE II Methods
Previous Article in Special Issue
New Identities Dealing with Gauss Sums
Open AccessArticle

Explicit Formulas for All Scator Holomorphic Functions in the (1+2)-Dimensional Case

Wydział Fizyki, Uniwersytet w Białymstoku, ul. Ciołkowskiego 1L, 15-245 Białystok, Poland
Author to whom correspondence should be addressed.
Symmetry 2020, 12(9), 1550;
Received: 10 August 2020 / Revised: 14 September 2020 / Accepted: 16 September 2020 / Published: 20 September 2020
(This article belongs to the Special Issue Symmetry in Geometric Functions and Mathematical Analysis)
Scators form a vector space endowed with a non-distributive product, in the hyperbolic case, have physical applications related to some deformations of special relativity (breaking the Lorentz symmetry) while the elliptic case leads to new examples of hypercomplex numbers and related notions of holomorphicity. Until now, only a few particular cases of scator holomorphic functions have been found. In this paper we obtain all solutions of the generalized Cauchy–Riemann system which describes analogues of holomorphic functions in the (1+2)-dimensional scator space. View Full-Text
Keywords: scators; holomorphic functions; generalized Cauchy–Riemann equations scators; holomorphic functions; generalized Cauchy–Riemann equations
MDPI and ACS Style

Cieśliński, J.L.; Zhalukevich, D. Explicit Formulas for All Scator Holomorphic Functions in the (1+2)-Dimensional Case. Symmetry 2020, 12, 1550.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop