V. Shpakivskyi

activity

20122023

most citedMonogenic functions in finite-dimensional commutative associative algebras

16 citations · 31 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.CV2023

Representation of Quaternionic $ψ$ -hyperholomorphic Functions

Tetiana Kuzmenko, Vitalii Shpakivskyi

In the algebra of complex quaternions $H (C)$ we consider for the first time left- and right- $ψ$ -hyperholomorphic functions. We justify the transition in left- and right-$ψ…

math.CV2018

Hypercomplex method for solving linear PDEs with constant coefficients

Vitalii Shpakivskyi

In this paper, we propose a procedure for constructing an infinite number of families of solutions of given linear differential equations with partial derivatives with constant coe…

math.CV2016

On monogenic mappings of the quaternionic variables

V. S. Shpakivskyi, T. S. Kuzmenko

In the paper [1] we consider a new class, so-called, $G$ -monogenic (differentiable in the sense of Gateaux) quaternionic mappings. In the present paper we introduce quaternionic $H…

math.CV2015★ 6 cited

Integral theorems for monogenic functions in commutative algebras

V. S. Shpakivskyi

Let $A_{n}^{m}$ be an arbitrary $n$ -dimensional commutative associative algebra over the field of complex numbers with $m$ idempotents. Let $e_{1} = 1, e_{2}, \dots, e_{k}$ with $2\leq…

math.CV2015★ 16 cited

Monogenic functions in finite-dimensional commutative associative algebras