ACADEMICIA: An International Multidisciplinary Research Journal
  • Year: 2020
  • Volume: 10
  • Issue: 5

Task cauchy and carleman function

  • Author:
  • Juraeva Nodira Yunusovna1, Ashurova Zebiniso Raximovna2, Juraeva Umidakhon Yunusalievna3
  • Total Page Count: 6
  • Page Number: 1784 to 1789

1Associate Professor, Department of Natural Sciences, Candidate Physicalmat Sciences, Samarkand Branch of T University IT, Uzbekistan

2Associate Professor, Department of Mathematical Analysis, Candidate Physicalmat Sciences, Samarkand State University, Uzbekistan

3Assistant, Department of Mathematical Analysis, Samarkand State University, Uzbekistan

Online published on 30 June, 2020.

Abstract

In this paper we discuss the continuation polyharmonic function its values and the values of its normal derivative on the smooth side of the boundary of the infinite D. Using this integral representation, we obtain some properties of the polyharmonic functions of this class.

Keywords

Cauchy Problem, Carleman Function, Polyharmonic Functions, Partial Derivatives, Normal Derivatives