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We investigate on the famous Br$ \ddot{u} $ck conjecture further, and improved some of the existing results by extending them up to a differential monomial $ M[f] $ sharing small… Click to show full abstract
We investigate on the famous Br$ \ddot{u} $ck conjecture further, and improved some of the existing results by extending them up to a differential monomial $ M[f] $ sharing small function with certain power of $ f^{d_M} $ of a meromorphic function. We have found the class of the meromorphic function satisfying the relation $ f^{d_M}\equiv M[f] $. For the generalizing our main results further up to a differential polynomial $ P[f] $, some relevant questions finally have been posed for further study in this direction.
Keywords:
differential equation;
conjecture certain;
conjecture;
bruck conjecture;
solution differential;
certain solution
Journal Title: Tamkang Journal of Mathematics
Year Published: 2020
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Journal Title: Tamkang Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!