2 citations · 2 across the 6 of their papers we have counts for
6 papers
A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra
S. A. Plaksa, R. Pukhtaievych
We consider a Riemann boundary value problem for monogenic functions in a two-dimensional commutative associative Banach algebra. We prove theorems on the existence of a solution t…
An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra
S. A. Plaksa, V. S. Shpakivskyi, M. V. Tkachuk
We prove that a locally bounded and differentiable in the sense of Gateaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differen…
Analog of Menchov-Trokhimchuk theorem for monogenic functions in three-dimensional commutative algebra
M. V. Tkachuk, S. A. Plaksa
The aim of this work is to weaken the conditions of monogenity for functions that take values in one concrete three-dimensional commutative algebras over the field of complex numbe…
A Schwartz-type boundary value problem in a biharmonic plane
S. V. Gryshchuk, S. A. Plaksa
A commutative algebra over the field of complex numbers with the bases satisfying the conditions , , is considered.…
Cauchy theorem for a surface integral in commutative algebras
Sergiy A. Plaksa, Vitalii S. Shpakivskyi
We prove an analogue of the Cauchy integral theorem for hyperholomorphic functions given in three-dimensional domains with non piece-smooth boundaries and taking values in an arbit…
Schwartz-type integrals in a biharmonic plane
S. V. Gryshchuk, S. A. Plaksa
We consider a two-dimensional commutative algebra B over the field of complex numbers. The algebra B is associated with the biharmonic equation. For monogenic functions with values…