V. Shpakivskyi

activity

20122026

most citedMonogenic functions in finite-dimensional commutative associative algebras

16 citations · 43 across the 18 of their papers we have counts for

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Showing 2015Show all

4 papers · 1 filter

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

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.RA2015★ 2 cited

Some remarks about Fibonacci elements in an arbitrary algebra

Cristina Flaut, Vitalii Shpakivskyi

In this paper, we prove some relations between Fibonacci elements in an arbitrary algebra. Moreover, we define imaginary Fibonacci quaternions and imaginary Fibonacci octonions and…

math.CV2015★ 1 cited

Curvilinear integral theorems for monogenic functions in commutative associative algebras

Vitalii Shpakivskyi

We consider an arbitrary finite-dimensional commutative associative algebra, $A_{n}^{m}$ , with unit over the field of complex number with $m$ idempotents. Let $e_{1} = 1, e_{2}, e_{3}$ …