Question
Download Solution PDFf(z) = u(x, y) + iv(x, y) सामिश्र चर z = x + iy का एक विश्लेषणात्मक फलन है। यदि v = xy है, तो u(x, y) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि f(z) = u(x, y) + iv(x, y) एक विश्लेषणात्मक फलन है, तो कॉची-रीमैन की स्थिति संतुष्ट होगी।
अर्थात्
गणना:
दिया गया है:
v = xy
यदि u = f(x, y) है।
du = xdx - ydy
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