1. Give another proof of Jensen’s formula in the unit disc using the functions (called Blaschke…

1. Give another proof of Jensen’s formula in the unit disc using the functions (called Blaschke factors)

2. Find the order of growth of the following entire functions:

3. Show that if τ is fixed with Im(τ ) > 0, then the Jacobi theta function

is of order 2 as a function of z. Further properties of Θ will be studied in Chapter 10.

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