Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Theirq-Shift
Keyword(s):
We investigate value distribution and uniqueness problems of meromorphic functions with theirq-shift. We obtain that iffis a transcendental meromorphic (or entire) function of zero order, andQ(z)is a polynomial, thenafn(qz)+f(z)−Q(z)has infinitely many zeros, whereq∈ℂ∖{0},ais nonzero constant, andn≥5(orn≥3). We also obtain that zero-order meromorphic function share is three distinct values IM with itsq-difference polynomialP(f), and iflimsup r→∞(N(r,f)/T(r,f))<1, thenf≡P(f).
Keyword(s):
2002 ◽
Vol 132
(3)
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pp. 531-544
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Keyword(s):
2005 ◽
Vol 78
(1)
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pp. 17-26
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1969 ◽
Vol 10
(3-4)
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pp. 355-358
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1995 ◽
Vol 38
(4)
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pp. 490-495
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