Про Моногенні Функції На Розширеннях Комутативної Алгебри

Шпаківський, Віталій Станіславович

doi:10.15673/tmgc.v11i3.1200

ПМГЦ

2019

DOI: 10.15673/tmgc.v11i3.1200

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Про Моногенні Функції На Розширеннях Комутативної Алгебри

Віталій Станіславович Шпаківський¹

Abstract: Для n-вимірної (2 ⩽ n < 1) комутативної асоціативної алгебри

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2023

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σ-monogenic functions in commutative algebras

Shpakivskyi¹

2023

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In finite-dimensional commutative associative algebra, the concept of σ-monogenic function is introduced. Necessary and sufficient conditions for σ-monogeneity have been established. In some low-dimensional algebras, with a special choice of σ, the representation of σ-monogenic functions is obtained using holomorphic functions of a complex variable. We proposed the application of σ-monogenic functions with values in two-dimensional biharmonic algebra to representation of solutions of two-dimensional biharmonic equation.

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σ-monogenic functions in commutative algebras

Shpakivskyi¹

2023

PIGC

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Про Моногенні Функції На Розширеннях Комутативної Алгебри

Abstract: Для n-вимірної (2 ⩽ n < 1) комутативної асоціативної алгебри

Cited by 1 publication

References 8 publications

σ-monogenic functions in commutative algebras

σ-monogenic functions in commutative algebras

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