1. Show that if α > 1, then is an entire function of growth order α/(α − 1)….

1. Show that if α > 1, then

is an entire function of growth order α/(α − 1). [Hint: Show that

by considering the two cases |t| α−1 ≤ A|z| and |t| α−1 ≥ A|z|, for an appropriate constant A.]

2. Prove Wallis’s product formula

[Hint: Use the product formula for sin z at z = π/2.]

Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper

Order Over WhatsApp Place an Order Online

Do you have an upcoming essay or assignment due?

All of our assignments are originally produced, unique, and free of plagiarism.

If yes Order Similar Paper