On the derivative of the self-reciprocal polynomials

چکیده مقاله

Let P z be a polynomial of degree n having no zeros in jzj < k, k 1, and Q z = znP 1=z , it is proved by Dewan et al that if jP ′ z j and jQ ′ z j becomes maximum at the same point on jzj = 1, then max jzj=1 jP ′ z j n 1 kn􀀀 1 fmax jzj=1 jP z j 􀀀 min jzj=k jP z jg: In this paper, we Σ obtain a similar result for the polynomials of type P z = a0 n = a z ; 1 n

کلیدواژه‌ها

نویسندگان

Ahmad Motamednezhad

Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

Motamednezhad, Ahmad,1401,On the derivative of the self-reciprocal polynomials,10th National Conference on Mathematics, Payame Noor University,Shiraz

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مجموعه مقالات دهمین همایش ملی ریاضی دانشگاه پیام نور28 اردیبهشت 1401 · شیراز