Publication Date:
2021-04-21
Description:
In this paper, we investigate the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations $$ egin{aligned} A_{k}(z)f(z+c_{k})+cdots +A_{1}(z)f(z+c_{1})+A_{0}(z)f(z)= & {} 0, A_{k}(z)f(z+c_{k})+cdots +A_{1}(z)f(z+c_{1})+A_{0}(z)f(z)= & {} F, end{aligned}$$ A k ( z ) f ( z + c k ) + ⋯ + A 1 ( z ) f ( z + c 1 ) + A 0 ( z ) f ( z ) = 0 , A k ( z ) f ( z + c k ) + ⋯ + A 1 ( z ) f ( z + c 1 ) + A 0 ( z ) f ( z ) = F , where $$A_{k}left( z
ight) ,ldots ,A_{0}left( z
ight) ,$$ A k z , … , A 0 z , $$Fleft( z
ight) $$ F z are meromorphic functions and $$c_{j}$$ c j $$left( 1,ldots ,k
ight) $$ 1 , … , k are non-zero distinct complex numbers. Under some conditions on the coefficients, we extend early results due to Zhou and Zheng, Belaïdi and Benkarouba.
Print ISSN:
2193-5343
Electronic ISSN:
2193-5351
Topics:
Mathematics
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