A NOTE ON THE GROWTH OF POLYNOMIALS
Abstract
Let z be a complex variable, p a complex polynomial,and let M(p,R)=maxIp(z)I on IzI=R , M(p,1)=maxIp(z)I on IzI=1 .In this work,we investigate some new inequalities between M(p,R) and M(p^n,1)as well as between M(p^n ,R) and M(p,1) where n>2 or n=2 is a natural number.
Keywords
Kaynakça
- Aziz, A., (1987). Growty of Polynomials Whose Zeros are within or Outside a Circle, Bul. Austral. Math. Soc. Vol.35,
- -256.
- Aziz, A. and Dawood, M., (1988). Inequalities for a Polynomial and Its Derivative, J. Approx. Theory, 53, 155-162.
- Aziz, A. and Mohammad, O.G., (1981). Growth of Polynomials With
- Zeros Outside A Circle, Proc. Amer. Math. Soc. 81, 549-553.
- Çelik, A., (2013). Some Inequalities for Polynomial Functions, Physical Sciences (ISSN 1308-7304), Volume:8, Number:2, 32-47. DOI:10.12739/NWSA.2013.8.2.3A0064.
- Desphande, J.V., (1986). Complex Analysis (Tata McGraw- Hill
- Publishing Company, New Delhi.
Ayrıntılar
Birincil Dil
İngilizce
Konular
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Bölüm
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Yazarlar
Yayımlanma Tarihi
11 Nisan 2016
Gönderilme Tarihi
17 Şubat 2016
Kabul Tarihi
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Yayımlandığı Sayı
Yıl 2016 Cilt: 11 Sayı: 2