Some inequalities for the polar derivative of a polynomial with restricted zeros

• Autorzy: Zireh A. , Hosseini S. A.

Identyfikatory

DOI

10.7862/rf.2014.11

• Języki publikacji: EN

Abstrakty

EN

Let p(z) be a polynomial of degree n and for any complex number (alfa), D(alfa)p(z) = np(z)+(alfa-z)p′(z) denote the polar derivative of the polynomial p(z) with respect to. In this paper, we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our result generalize certain well-known polynomial inequalities.

Słowa kluczowe

EN

polynomial; inequality; maximum modulus; polar derivative; restricted zeros

PL

wielomian; nierówność; pochodna wielomianu

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2014
• Tom: Vol. 37
• Strony: 119--129
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Zireh A.

• Department of Mathematics, Shahrood University of Technology, Shahrood, Iran

autor

Hosseini S. A.

• Department of Mathematics, Shahrood University of Technology, Shahrood, Iran

Bibliografia

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