Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 15 (2020), 225 -- 231

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AN APPLICATION OF THE DISTRIBUTION SERIES FOR CERTAIN ANALYTIC FUNCTION CLASSES

Serkan Çakmak, Sibel Yalçın, Şahsene Altınkaya

Abstract. For the generalized distribution with the Pascal model defined by

P(X=j) =Binomial(j+t-1,t-1)pj(1-p)t   j∈{ 0,1,2,3,...},
let UP(λ ,α ,μ) and HP(λ ,α) represent the analytic function classes in the open unit disk D={z: z∈ℂ and |z|<1}. IS TO FOR

2020 Mathematics Subject Classification: 30C45; 30C80
Keywords: analytic functions; univalent functions; Pascal distribution

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Serkan Çakmak
Bursa Uludag University
Department of Mathematics,
16059, Bursa, Turkey.
e-mail: serkan.cakmak64@gmail.com


Sibel Yalçın
Bursa Uludag University
Department of Mathematics,
16059, Bursa, Turkey.
e-mail: syalcin@uludag.edu.tr


Şahsene Altınkaya
Bursa Uludag University
Department of Mathematics,
16059, Bursa, Turkey.
e-mail: sahsenealtinkaya@gmail.com

http://www.utgjiu.ro/math/sma