Abstract
UDC 517.5
For a function
f
(
z
)
=
z
p
+
∑
k
=
1
∞
a
k
+
p
z
k
+
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.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
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