## V. K. Jain: On the Derivatives of a Polynomial. p. 339-347

### Abstract:

For a polynomial of degree , having all its zeros in , we obtain a refinement of a known result [2]

(by using certain coefficients of ), and an inequality, similar to known result involving derivative, ( ), instead of the first derivative of (and better than the similar inequality, obtained by repeated applications of known result, in many cases).

Key Words: polynomial, derivatives, zeros in , certain coefficients, generalization of Schwarz's lemma.

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