Meromorphic function sharing three sets with its shift, q-shift, q-difference and analogous operators
Journal Title: Математичні Студії - Year 2019, Vol 52, Issue 1
Abstract
Using the notion of weighted sharing of three sets we deal with the uniqueness problem of meromorphic function with its shift, q-shift, q-difference and analogous operator. A handful number of examples have been provided to substantiate our certain claims. In other words, we deduce conditions providing a) f(z)≡tf(z+c), where tn=1, n≥2; b) f(z)≡tf(qz+c), where tn=1, n≥2 and q,c∈C∖{0}; c) f(z)≡tf(qz), where tn=1 and ∣q∣=1; d) f(z)≡χnΔqf for n≥2 with Δqf=f(qz)−f(z) and χn={1,t,if n=2,if n≥3,tn=1.
Authors and Affiliations
A. Banerjee, S. Bhattacharyya
Keywords
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- EP ID EP673799
- DOI 10.30970/ms.52.1.38-47
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