Some unity results on entire functions and their difference operators related to 4 CM theorem
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Abstract This paper is to consider the unity results on entire functions sharing two values with their difference operators and to prove some results related to 4 CM theorem. The main result reads as follows: Let $f(z)$ f ( z ) be a nonconstant entire function of finite order, and let $a_{1}$ a 1 , $a_{2}$ a 2 be two distinct finite complex constants. If $f(z)$ f ( z ) and $\Delta _{\eta }^{n}f(z)$ Δ η n f ( z ) share $a_{1}$ a 1 and $a_{2}$ a 2 “CM”, then $f(z)\equiv \Delta _{\eta }^{n} f(z)$ f ( z ) ≡ Δ η n f ( z ) , and hence $f(z)$ f ( z ) and $\Delta _{\eta }^{n}f(z)$ Δ η n f ( z ) share $a_{1}$ a 1 and $a_{2}$ a 2 CM.
2018 ◽
Vol 40
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pp. 89-116
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2014 ◽
Vol 30
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pp. 481-498
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2015 ◽
Vol 160
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pp. 95-106
1982 ◽
Vol 25
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pp. 221-229
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1973 ◽
Vol 51
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pp. 123-130
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