1 to 21. Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21 are analytic. Similarly, find out whether the following functions are analytic. 24. yix x² + y²

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Subject: Mathematical Physics Topic: Functions of A Complex Variable-Analytic Function Answer the following functions and determine whether the following functions are Analytic. Please answer neatly and with details.
1 to 21. Use the Cauchy-Riemann conditions to find out whether the functions in Problems
1.1 to 1.21 are analytic. Similarly, find out whether the following functions are analytic.
24.
y - ix
x² + y²
Transcribed Image Text:1 to 21. Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21 are analytic. Similarly, find out whether the following functions are analytic. 24. y - ix x² + y²
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