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Some Inequalities for Polynomials and Related Entire Functions II

Published online by Cambridge University Press:  20 November 2018

Q. I. Rahman
Q. I. Rahman*
Affiliation:
Université de Montréal Montreal, Canada and Regional Engineering College Srinagar, Kashmir, India
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Let be a polynomial of degree n. Then clearly

(1.1).

(1.2).

and for R > 1

(1.3).

Note that if w = p(z) maps |z|<1 on a domain D of the w-plane then the area of D is given by

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 4 , December 1964 , pp. 573 - 595
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Boas, R. P. Jr. Entire functions, Academic Press, New York 1954.Google Scholar
2. De Bruijn, N. G., Inequalities concerning polynomials in the compLex domain, Neder. Akad. Wetensch., Proc., vol. 50(1947), pp. 1265–1272.Google Scholar
3. Lax, P. D., Proof of a conjecture of P. Erdős on the derivative of a polynomial, Bull. Amer. Math. Soc., vol. 50 (1944), pp. 509–513.CrossRefGoogle Scholar
4. Malik, M. A., An inequality for polynomials, Canadian Mathematical Bulletin, vol. 6(1963), pp. 65–69.CrossRefGoogle Scholar
5. Rahman, Q. I., Some inequalities for polynomials and related entire functions, Illinois J. Math., vol. 5 (1961), pp. 144–151.CrossRefGoogle Scholar