Non-real zeroes of real entire derivatives

作者：Nicks Daniel A^*

来源：Journal d Analyse Mathematique, 2012, 117: 87-118.

DOI：10.1007/s11854-012-0015-5

A real entire function belongs to the Laguerre-Plya class LP if it is the limit of a sequence of real polynomials with real zeroes. By building upon results that resolved a long-standing conjecture of Wiman, a number of conditions are established under which a real entire function f must belong to the class LP, or to one of the related classes U (2p) (*) . These conditions typically involve the non-real zeroes of f and its derivatives, or those of the differential polynomial f faEuro(3)a%26apos;a(f%26apos;)(2).

• 出版日期2012-6