Analog of Hayman conjecture for linear difference polynomials

Abstract

We investigate the value distribution of difference polynomials of entire and meromorphic functions, which can be viewed as the Hayman’s conjecture. And we also study the uniqueness of difference polynomials sharing a common value.

Subject Classification: (2010):

• Primary 30D35
• Secondary 30D30
• 39A10

Keywords:

• Entire and Meromorphic function
• Shared values
• Nevanlinna theory
• Shifts
• Difference polynomials