Some properties of a generalized multiplier transform on analytic p-valent functions
DOI:
https://doi.org/10.37863/umzh.v74i9.6173Keywords:
Analytic, Univalent, Multiplier transform, Differential operator, Growth and Distortion Theorem.Abstract
UDC 517.5
For a function f(z)=zp+∞∑k=1ak+pzk+p, where p∈N, the authors investigate some properties of a more general multiplier transform on analytic p-valent functions in an open unit disk. The applications of the obtained results to fractional calculus are pointed out, while several other corollaries follow as simple consequences.
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