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Entire and meromorphic solutions of linear difference equations

Dyavanal R. S., Mathai M. M.

Fasciculi Mathematici

2016

Nr 56

43--59

In this paper, we shall investigate the existence of finite order entire and meromorphic solutions of linear difference equation of the form fn(z)+p(z)fn-2(z)+L(z, f)=h(z) where L(z, f) is linear difference polynomial in f(z), p(z) is non-zero polynomial and h(z) is a meromorphic function of finite order. We also consider finite order entire solution of linear difference equation of the form fn(z)+p(z)L(z, f)-r(z)eq(z) where r(z) and q(z) are polynomials.