Subclass of analytic functions associated with Poisson distribution series
In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series K ( m , z ) = z + ∑ n = 2 ∞ m n - 1 ( n - 1 ) ! e - m z n belonging to a subclass TS ( λ , α , β ) of analytic functions with negative coefficients. Further, we consider the integral o...
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Veröffentlicht in: | Afrika mathematica 2020-11, Vol.31 (7-8), p.1167-1173 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series
K
(
m
,
z
)
=
z
+
∑
n
=
2
∞
m
n
-
1
(
n
-
1
)
!
e
-
m
z
n
belonging to a subclass
TS
(
λ
,
α
,
β
)
of analytic functions with negative coefficients. Further, we consider the integral operator
G
(
m
,
z
)
=
∫
0
z
F
(
m
,
t
)
t
d
t
belonging to the above class. |
---|---|
ISSN: | 1012-9405 2190-7668 |
DOI: | 10.1007/s13370-020-00788-z |