Confluent hypergeometric distribution and its applications on certain classes of univalent functions

被引：28
作者：
Porwal S. [1 ]
Kumar S. [1 ]
机构：
[1] Department of Mathematics, University Institute of Engineering and Technology, Chhatrapati Shahu Ji Maharaj University, Kanpur, 208024, UP
来源：
Afrika Matematika | 2017年 / 28卷 / 1-2期
关键词：
Analytic; Confluent hypergeometric distribution; Univalent functions;
D O I：
10.1007/s13370-016-0422-3
中图分类号：
学科分类号：
摘要：
In the present paper, we investigate confluent hypergeometric distribution and establish some connections between γ- UCV, γ- ST, Sλ∗ and Cλ with Rτ(A, B) involving the operator Ω (a; c; m) associated with the confluent hypergeometric distribution series. © 2016, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
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页码：1 / 8
页数：7
相关论文
共 21 条
[1]  
Dixit K.K., Pal S.K., On a class of univalent functions related to complex order, Indian J. Pure Appl. Math., 26, 9, pp. 889-896, (1995)
[2]  
Dixit K.K., Porwal S., On a certain class of k -uniformly convex functions with negative coefficients, Bull. Calcutta Math. Soc., 100, 6, pp. 639-652, (2008)
[3]  
Gangadharan A., Shanmugam T.N., Srivastava H.M., Generalized hypergeometric functions associated with k -Uniformly convex functions, Comput. Math. Appl., 44, pp. 1515-1526, (2002)
[4]  
Goodman A.W., On uniformly convex functions, Ann. Polon. Math., 56, pp. 87-92, (1991)
[5]  
Goodman A.W., On uniformly starlike functions, J. Math. Anal. Appl., 155, pp. 364-370, (1991)
[6]  
Kanas S., Integral operators in classes k -starlike functions, Mathematica (Cluj-Napoca), 43, 66, pp. 77-87, (2001)
[7]  
Kanas S., Srivastava H.M., Linear operators associated with k -uniformly convex functions, Integral Transform. Special Funct., 9, pp. 121-132, (2000)
[8]  
Kanas S., Wisniowska A., Conic regions and k -uniform convexity, J. Comput. Appl. Math., 105, pp. 327-336, (1999)
[9]  
Kanas S., Wisniowska A., Conic regions and k -starlike functions, Rev. Roumaine Math. Pure Appl., 45, pp. 647-657, (2000)
[10]  
Kanas S., Yaguchi T., Subclasses of k -uniformly convex and starlike functions defined by generalized derivative, I, Indian J. Pure Appl. Math., 32, 9, pp. 1275-1282, (2001)
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