Some properties of a generalized multiplier transform on analytic $p$-valent functions
Abstract
UDC 517.5
For a function $$f(z)=z^{p}+\sum^{\infty}_{k=1} a_{k+p}z^{k+p},$$ where $p\in\mathbb{N},$ 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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