ScienceAsia - Journal of The Science Society of Thailand

ABSTRACT: : Given an entire function f of finite order ?, let L(z, f ) = Pm j=0 bj (z)f (kj ) (z+cj ) be a linear delay-differential polynomial of f with small coefficients in the sense of O(r ?+" ) + S(r, f ), ? < ?. Provided ? and ? are similar small functions, we consider the zero distribution of L(z, f ) ? ?f n ? ? for n ? 3 and n = 2, respectively. Our results are improvements and complements of Chen [Abstract Appl Anal 2011 (2011):ID 239853), and Laine [J Math Anal Appl 469 (2019):808?826].

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On value distribution of certain delay-differential polynomials

Nan Li^a,*, Lianzhong Yang^b

On value distribution of certain delay-differential polynomials

Nan Lia,*, Lianzhong Yangb

Nan Li^a,*, Lianzhong Yang^b