MATHEMATICS

Bishop's formula for a matrix polyhedron with a non-piecewise smooth boundary

E. M. Makhkamov^ab, J. T. Bozorov<sup>c

a</sup> National University of Uzbekistan, Uzbekistan, Tashkent
^b Non-governmental Organization of Higher Education Perfect University, Tashkent
^c Termez State University, Uzbekistan, Termez

Abstract: In this work, a matrix polyhedral domain is defined using a matrix ball. In this matrix polyhedral domain, an analogue of Bishop's formula for meromorphic functions of a special form is obtained.

Keywords: holomorphic functions and mappings, matrix polyhedral set, matrix polyhedral domain, generalized matrix ball, meromorphic function, Bishop's integral formula.

UDC: 517.55

MSC: 32A10, 32A20, 32A25, 32A26

Received: 08.01.2024
Accepted: April 10, 2025

DOI: 10.17223/19988621/94/3