English

Integral theorems for the quaternionic G-monogenic mappings

Complex Variables 2014-12-18 v1

Abstract

In the paper [1] considered a new class of quaternionic mappings, so-called GG-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvilinear integrals, and the Cauchy integral formula for GG-monogenic mappings.

Keywords

Cite

@article{arxiv.1412.5320,
  title  = {Integral theorems for the quaternionic G-monogenic mappings},
  author = {V. S. Shpakivskyi and T. S. Kuzmenko},
  journal= {arXiv preprint arXiv:1412.5320},
  year   = {2014}
}

Comments

Submitted to An. St. Univ. Ovidius Constanta

R2 v1 2026-06-22T07:34:41.150Z