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Research Journal of Applied Sciences

ISSN: Online 1993-6079
ISSN: Print 1815-932x
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Conjugate Polar Form of Cauchy-Riemann Equations

D.B. Amuda , O.M. Oni and A.O. Awodugba
Page: 994-997 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

If we use the form z = (cos + I sin ) and set f(z) = f (rei ) = u(r, ) + iv(r, ), then the Cauuchy-Riemann equations are In this study, we establish the conjugate forms of the above Cauchy-Riemann differential equations in polar coordinate. That is; if we use the conjugate polar form =r (cos + I sin ) and set f( ) = f (re-i ) = u(r, ) + iv(r, - ), then the conjugate polar form Cauuchy-Riemann equations are which is a `reflection` of Cauchy-Riemann Differential Equations in Polar coordinate.


How to cite this article:

D.B. Amuda , O.M. Oni and A.O. Awodugba . Conjugate Polar Form of Cauchy-Riemann Equations.
DOI: https://doi.org/10.36478/rjasci.2007.994.997
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2007.994.997