Pascal distribution series for subclasses of analytic functions associated with conic domains

B. A. Frasin; S. M. Aydoğan

doi:10.1007/s13370-020-00813-1

Pascal distribution series for subclasses of analytic functions associated with conic domains

B. A. Frasin^*, S. M. Aydoğan

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Al al-Bayt University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

7 Atıf (Scopus)

Özet

In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	105-113
Sayfa sayısı	9
Dergi	Afrika Matematika
Hacim	32
Basın numarası	1-2
DOI'lar	https://doi.org/10.1007/s13370-020-00813-1
Yayın durumu	Yayınlandı - Mar 2021

Bibliyografik not

Publisher Copyright:
© 2020, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

Belgeye Erişim

10.1007/s13370-020-00813-1

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.",

keywords = "Analytic functions, Hadamard product, Pascal distribution series",

author = "Frasin, {B. A.} and Aydoğan, {S. M.}",

note = "Publisher Copyright: {\textcopyright} 2020, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.",

year = "2021",

month = mar,

doi = "10.1007/s13370-020-00813-1",

language = "English",

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T1 - Pascal distribution series for subclasses of analytic functions associated with conic domains

AU - Frasin, B. A.

AU - Aydoğan, S. M.

PY - 2021/3

Y1 - 2021/3

N2 - In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

AB - In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

KW - Analytic functions

KW - Hadamard product

KW - Pascal distribution series

UR - http://www.scopus.com/inward/record.url?scp=85088102309&partnerID=8YFLogxK

U2 - 10.1007/s13370-020-00813-1

DO - 10.1007/s13370-020-00813-1

M3 - Article

AN - SCOPUS:85088102309

SN - 1012-9405

VL - 32

SP - 105

EP - 113

JO - Afrika Matematika

JF - Afrika Matematika

IS - 1-2

ER -

Pascal distribution series for subclasses of analytic functions associated with conic domains

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap