@article{MAKHILLRJAS2007298831,
    title = {Conjugate Polar Form of Cauchy-Riemann Equations},
    journal = {Research Journal of Applied Sciences},
    volume = {2},
    number = {9},
    pages = {994-997},
    year = {2007},
    issn = {1815-932x},
    doi = {rjasci.2007.994.997},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2007.994.997},
    author = {D.B. Amuda,O.M. Oni and},
    keywords = {Analyticity,Cauchy-Riemann,conjugate,polar,reflection},
    abstract = {If we use the form z = (cos  + I sin ) and set f(z) = f (re<SUP>i </SUP>) = u(r,  ) + iv(r,  ), then the Cauuchy-Riemann equations are<IMG SRC=http://www.medwelljournals.com/fulltext/rjas/2007/Image24.gif/Image23.gif>


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 <IMG SRC=http://www.medwelljournals.com/fulltext/rjas/2007/Image24.gif>
 =r (cos  + I sin ) and set f(<IMG SRC=http://www.medwelljournals.com/fulltext/rjas/2007/Image24.gif>
) = f (re<SUP>-i </SUP>) = u(r,  ) + iv(r, - ), then the conjugate polar form Cauuchy-Riemann equations are
<IMG SRC=http://www.medwelljournals.com/fulltext/rjas/2007/Image25.gif>
which is a `reflection` of Cauchy-Riemann Differential Equations in Polar coordinate.}
    }