Derivation of the Real-Rootedness of Coordinator Polynomials from the Hermite-Biehler Theorem

作者：Xie M H Y; Zhang P B^*

来源：Acta Mathematica Hungarica, 2014, 143(1): 185-191.

DOI：10.1007/s10474-014-0395-3

• coordinator polynomial
• real-rootedness
• the Hermite-Biehler theorem
• compatibility

By using the Hermite-Biehler theorem, we give a new proof of the real-rootedness of the coordinator polynomials of type D, which was recently established by Wang and Zhao. As a consequence, we also obtain the compatibility between the coordinator polynomials of type D and those of type C.

• 出版日期2014-6
• 单位天津大学; 南开大学