We obtain a constructive description of monogenic functions taking values in a finite-
dimensional semi-simple commutative algebra by means of holomorphic functions of the …

In this paper, an analog of the conformable fractional derivative is defined in an arbitrary
finite-dimensional commutative associative algebra. Functions taking values in the indicated …

The methods involving the functions analytic in a complex plane for plane potential fields
inspire the search for the analogous efficient methods for solving the spatial and …

The composition H (z)= f (Φ (z)) is studied, where f is an entire function of a single complex
variable and Φ is an entire function of n complex variables with a vanished gradient …

For monogenic (continuous and differentiable in the sense of Gâteaux) functions given in
special real subspaces of an arbitrary finitedimensional commutative associative algebra …

In finite-dimensional commutative associative algebra, the concept of σ-monogenic function
is introduced. Necessary and sufficient conditions for σ-monogeneity have been established …

JOURNAL OF MATHEMATICAL SCIENCES Page 1 JOURNAL OF MATHEMATICAL
SCIENCES Volume 229, Number 1 February 21, 2018 CONTENTS Engl./Ukr. This issue is a …

We consider axial-symmetric stationary flows of the ideal incompressible fluid as an
important case of potential solenoid vector fields. We establish relations between axial …

An algebraic-analytic approach to elliptic equations of mathematical physics is developed at
the Department of Complex Analysis and Potential Theory of the Institute of Mathematics of …

The methods involving the functions analytic in a complex plane for plane potential fields
inspire the search for the analogous efficient methods for solving the spatial and …