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Chapter 14: Q27P (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.
27..
It is proved that the derivative is,
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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.
at
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.
at
Find the inverse Laplace transform of the following functions by using (7.16) .
Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21 are analytic.
Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21 are analytic.
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