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Uniqueness on entire functions and their nth order exact differences with two shared values
Abstract Let f ( z ) be an entire function of hyper order strictly less than 1. We prove that if f ( z ) and its n th exact difference <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msubsup> <m:mrow> <m:mi>Δ</m:mi> </m:mrow> <m:mrow> <m:mi>c</m:mi> </m:mrow> <m:mrow> <m:mi>n</m:mi> </m:mrow> </m:msubsup> <m:mi>f</m:mi> <m:mo stretchy="false">(</m:mo> <m:mi>z</m:mi> <m:mo stretchy="false">)</m:mo> …