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Chapter 14: Q26P (page 673)
Using the definition (2.1) of , show that the following familiar formulas hold. Hint : Use the same methods as for functions of a real variable.
26..
It is proved that the derivative is,
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Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21 are analytic.
Question: Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21 are analytic.
Find the real and imaginary parts and of the following functions.
To find u and vas a function of xand y & plot the graph and show curve u = constant should be orthogonal to the curves v =constant.
w = cosh z
Find the residues of the following functions at the indicated points. Try to select the easiest of the methods outlined above. Check your results by computer.
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