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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| container_issue | 7-8 |
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| container_title | Afrika mathematica |
| container_volume | 31 |
| creator | Frasin, B. A. Gharaibeh, Mohammed M. |
| description | 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. |
| doi_str_mv | 10.1007/s13370-020-00788-z |
| format | Article |
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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.</description><identifier>ISSN: 1012-9405</identifier><identifier>EISSN: 2190-7668</identifier><identifier>DOI: 10.1007/s13370-020-00788-z</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Analytic functions ; Applications of Mathematics ; History of Mathematical Sciences ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Mathematics Education ; Operators (mathematics) ; Poisson distribution</subject><ispartof>Afrika mathematica, 2020-11, Vol.31 (7-8), p.1167-1173</ispartof><rights>African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2020</rights><rights>African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-b879d05739597c1f0ca6ae9ece9a7d8b512bc8a864ed250d99e30f204309433a3</citedby><cites>FETCH-LOGICAL-c319t-b879d05739597c1f0ca6ae9ece9a7d8b512bc8a864ed250d99e30f204309433a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13370-020-00788-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13370-020-00788-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Frasin, B. A.</creatorcontrib><creatorcontrib>Gharaibeh, Mohammed M.</creatorcontrib><title>Subclass of analytic functions associated with Poisson distribution series</title><title>Afrika mathematica</title><addtitle>Afr. Mat</addtitle><description>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.</description><subject>Analytic functions</subject><subject>Applications of Mathematics</subject><subject>History of Mathematical Sciences</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Mathematics Education</subject><subject>Operators (mathematics)</subject><subject>Poisson distribution</subject><issn>1012-9405</issn><issn>2190-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kFtLxDAQhYMouOj-AZ8CPlcnlzbNoyxeWVBQn0OappplbddMiuz-erNW8M2BYWDmO4fhEHLG4IIBqEtkQigogOcGVdfF7oDMONNQqKqqD8mMAeOFllAekzniCnLJilWlmJGH57Fxa4tIh47a3q63KTjajb1LYeiR5svggk2-pV8hvdOnIeRNT9uAKYZm3FMUfQweT8lRZ9fo57_zhLzeXL8s7orl4-394mpZOMF0Kppa6RZKJXSplWMdOFtZr73z2qq2bkrGG1fbupK-5SW0WnsBHQcpQEshrDgh55PvJg6fo8dkVsMY8-touCxBAteVzBSfKBcHxOg7s4nhw8atYWD2sZkpNpNjMz-xmV0WiUmEGe7ffPyz_kf1DTLfcNk</recordid><startdate>20201101</startdate><enddate>20201101</enddate><creator>Frasin, B. A.</creator><creator>Gharaibeh, Mohammed M.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20201101</creationdate><title>Subclass of analytic functions associated with Poisson distribution series</title><author>Frasin, B. A. ; Gharaibeh, Mohammed M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-b879d05739597c1f0ca6ae9ece9a7d8b512bc8a864ed250d99e30f204309433a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analytic functions</topic><topic>Applications of Mathematics</topic><topic>History of Mathematical Sciences</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Mathematics Education</topic><topic>Operators (mathematics)</topic><topic>Poisson distribution</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Frasin, B. A.</creatorcontrib><creatorcontrib>Gharaibeh, Mohammed M.</creatorcontrib><collection>CrossRef</collection><jtitle>Afrika mathematica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Frasin, B. A.</au><au>Gharaibeh, Mohammed M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Subclass of analytic functions associated with Poisson distribution series</atitle><jtitle>Afrika mathematica</jtitle><stitle>Afr. Mat</stitle><date>2020-11-01</date><risdate>2020</risdate><volume>31</volume><issue>7-8</issue><spage>1167</spage><epage>1173</epage><pages>1167-1173</pages><issn>1012-9405</issn><eissn>2190-7668</eissn><abstract>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.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s13370-020-00788-z</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1012-9405 |
| ispartof | Afrika mathematica, 2020-11, Vol.31 (7-8), p.1167-1173 |
| issn | 1012-9405 2190-7668 |
| language | eng |
| recordid | cdi_proquest_journals_2450402964 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Analytic functions Applications of Mathematics History of Mathematical Sciences Mathematical analysis Mathematics Mathematics and Statistics Mathematics Education Operators (mathematics) Poisson distribution |
| title | Subclass of analytic functions associated with Poisson distribution series |
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