Similar to a polynomial with zeros
,
being called a self-inversive polynomial (see [8]) if

we have called a polynomial with zeros , a self-reciprocal polynomial if

and have obtained for a self-reciprocal polynomial of degree

similar to

for a self-inversive polynomial of degree ([8]).

we have called a polynomial with zeros , a self-reciprocal polynomial if

and have obtained for a self-reciprocal polynomial of degree

similar to

for a self-inversive polynomial of degree ([8]).

Key Words: Self-reciprocal polynomial, derivative, unit circle, maximum, self-inversive polynomial.

2010 Mathematics Subject Classification: Primary 30C10; Secondary 30A10.

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