Inequalities for the Growth of a Polynomial in the Complex Domain

Key Points

• The derived inequalities illustrate significant growth properties of polynomials in complex domains, emphasizing their behavior.
• Integral-type norm estimates were derived specifically for polynomials not vanishing in a disk of positive radius.
• Previous inequalities by Aziz and others are generalized and refined through the findings of this analysis.
• These findings contribute to the broader mathematical understanding of polynomial behavior in complex analysis.

Abstract