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A note on some results of Li and Li

Sujoy Majumder, Somnath Saha (2018)

Mathematica Bohemica

The purpose of the paper is to study the uniqueness problems of linear differential polynomials of entire functions sharing a small function and obtain some results which improve and generalize the related results due to J. T. Li and P. Li (2015). Basically we pay our attention to the condition λ ( f ) 1 in Theorems 1.3, 1.4 from J. T. Li and P. Li (2015). Some examples have been exhibited to show that conditions used in the paper are sharp.

A note on the separated maximum modulus points of meromorphic functions

Ewa Ciechanowicz, Ivan I. Marchenko (2014)

Annales Polonici Mathematici

We give an upper estimate of Petrenko's deviation for a meromorphic function of finite lower order in terms of Valiron's defect and the number p(∞,f) of separated maximum modulus points of the function. We also present examples showing that this estimate is sharp.

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