АНАЛІТИЧНІ ФУНКЦІЇ В D× C ОБМЕЖЕНОГО ІНДЕКСУ ЗА СУКУПНІСТЮ ЗМІННИХ

Андрій Іванович Бандура; Олег Богданович Скасків; Володимир Любомирович Цвігун

ANALYTIC FUNCTIONS IN D × C OF BOUNDED INDEX IN JOINT VARIABLES

Authors

Андрій Іванович Бандура Ivano-Frankivsk National Technical University of Oil and Gas https://orcid.org/0000-0003-0598-2237
Олег Богданович Скасків Ivan Franko National University of Lviv https://orcid.org/0000-0001-5217-8394
Володимир Любомирович Цвігун Ivan Franko National University of Lviv

Keywords:

analytic function, bidisc, bounded L -index in joint variables, maximum modulus, partial derivative, Cauchy's integral formula, main polynomial

Abstract

A concept of boundedness of L -index in joint variables is generalised for analytic functions in D × C . We proved criteria of boundedness of L - index in joint variables which describes local behaviour of partial derivative of the function and gives an estimate of maximum modulus of the derivative on a skeleton of polydisc by its value at the center of the bidisc.

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Published

2019-02-09

How to Cite

Бандура, А. І., Скасків, О. Б., & Цвігун, В. Л. (2019). ANALYTIC FUNCTIONS IN D × C OF BOUNDED INDEX IN JOINT VARIABLES. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(45), 9–16. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/6

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Issue

No. 1(45) (2018): Precarp. bull. SSS. Number

Section

Mathematics and Mechanics