The Sufficient Condition for an Analytic Function ( for C-R Equations ).

State and prove that: The Sufficient condition for an Analytic Function. Or Statement/Prove that: w= f(z) = u + iv is analytic in a domain D and if (i) u, v are differentiable in domain D and ux = vy; uy = -vx (ii) These are partial derivatives ux, vx, uy and vy all are continuous in D. (here x,y is in Subscript) Proof: . . . . . Kindly join us for CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship COMMON SYLLABUS FOR PART ‘B’ AND ‘C’ MATHEMATICAL SCIENCES Detailed Videos about this syllabus with topic wise..... . . . . . #complexanalysis #csirnet #analyticfunction