Applications on the Boundary Behaviour of the Derivative of Conformal Mapping

Alhily, Shatha S.; Mishra, Vishnu Narayan

doi:10.28924/2291-8639-19-2021-674

Research Article

Applications on the Boundary Behaviour of the Derivative of Conformal Mapping

Shatha S. Alhily¹
Vishnu Narayan Mishra²*

Department of Mathematics, College of Science, Mustansiriyah University,Baghdad,Iraq
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India.

* Corresponding author

Abstract

The objective of this research paper is to describe the behaviour of the boundary derivative of conformal maps from polygon domain onto unit disk through construct some an interesting cases, and its inverse maps. Moreover, we study the existence and finiteness the integrability of the derivative of conformal maps over an infinite sector W.

How to Cite

S. S. Alhily, V. N. Mishra, Applications on the Boundary Behaviour of the Derivative of Conformal Mapping, Int. J. Anal. Appl. 19 (2021), 674–694. https://doi.org/10.28924/2291-8639-19-2021-674

BibTeX

@article{Alhily2021,
  author  = {Alhily, Shatha S. and Mishra, Vishnu Narayan},
  title   = {Applications on the Boundary Behaviour of the Derivative of Conformal Mapping},
  journal = {Int. J. Anal. Appl.},
  volume  = {19},
  year    = {2021},
  pages   = {674--694},
  doi     = {10.28924/2291-8639-19-2021-674}
}

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