• Amulya Kumar Pradhan

The purpose of this study is to look into a functional K-transformation p (b) p (b) = p (b) F (b) that is used to reconsider the complex differentiability of a given complex function w, and then to derive structural holomorphic to determine whether a complex function is complex structure differentiable. Because F (b) can be chosen at random, the range of possible implementations has been greatly expanded. We discovered the Carleman-Bers-Vekua equations, which are more straightforward because all coefficients are determined by the structural function (b). At the same time, Wirtinger derivatives are made. This talk includes an examination of the second-order nonlinear Laplace equation.

Cauchy-Riemann equation, K-transformation, structural holomorphic condition, Carleman-Bers-Vekua equations, nonlinear Laplace equation

"The nonlinear Cauchy-Riemann structural transformation equations and the nonlinear Laplace equation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 5, page no.202-206, May-2019, Available :http://www.jetir.org/papers/JETIR1905V86.pdf

"The nonlinear Cauchy-Riemann structural transformation equations and the nonlinear Laplace equation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 5, page no. pp202-206, May-2019, Available at : http://www.jetir.org/papers/JETIR1905V86.pdf