An extension of Suffridge's convolution theorem

作者：Lamprecht Martin^*

来源：Journal of Mathematical Analysis and Applications, 2010, 367(1): 229-241.

DOI：10.1016/j.jmaa.2010.01.004

• Suffridge polynomials
• Grace's theorem
• Convolution of polynomials

We present an extension of Suffridge's convolution theorem for polynomials with restricted zeros on the unit circle. We also discuss a possible extension of the theorem of Laguerre for those polynomials and give an answer to a long-standing open question by Suffridge regarding an extension of the theorem of Gauss-Lucas.

• 出版日期2010-7-1