1COMPLEX VARIABLE FUNCTIONS INTRODUCTION











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#COMPLEX #VARIABLE #FUNCTIONS • IF Z = X + iY IS A COMPLEX VARIABLE THEN ANY EXPRESSION IN TERMS OF 'Z' REPRESENTS A COMPLEX VARIABLE FUNCTION . IN GENERAL A COMPLEX VARIABLE FUNCTION DENOTED BY f(Z). • EVERY COMPLEX VARIABLE FUNCTION CAN BE EXPRESSED AS • f(Z) = U(x,y) + i V(x,y). HERE U(x,y) IS CALLED REAL PART AND V(x,y) IS CALLED IMAJINARY PART OF THE FUNCTION. • THE MAIN INTENSION OF THIS CHAPTER IS TO DISCUSS ABOUT ANALYTICITY OF THE GIVEN COMPLEX VARIABLE FUNCTION.

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