Concept of Bilinear Transformation, Jacobian, and Conformal Mapping with Applications
Please do not hesitate to contact us if you would like to obtain more information about the submission process or if you have further questions.
Abstract
This article explores the concepts of bilinear transformation, Jacobian transformation, and conformal mapping, focusing on their essential properties and presenting key results. The discussion revolves around isogonal transformation, conformal transformation, Jacobian transformation, and bilinear transformation, as well as critical points and fixed points.
Citation Metrics:
Downloads
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
References
Sharma, J.N. & Vashishtha, A.R. (1993). Real Analysis. Meerut: Krishna Prakashan Mandir.
Sharma, J.N. & Swarup, S. (1991). Functions of Complex Variable. India: Krishana Prakashan Media, 57-64.
Duraipandian, P., Duraipandian, L.,& Muhilan, D. ( 2006). Complex Analysis. Chenai: Emerald Publishers.
Barnard, R.W.& Schober, G. (1984). Mobius transformations of convex mappings. Complex Variables Theory and Application, 3,55-69.
Ahlfors, L.V.(1979). Complex Analysis. New York: Mc GRAW-Hill, inc.
Boas, R. P.(1987).Invitation to Complex Analysis. New York: Random House.
Forsyth, A. R.(1918).Theory of Functions of a Complex Variable. England: Cambridge University Press