On subclass of meromorphic multivalent functions associated with Liu-Srivastava operator
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Authors
Saqib Hussain
- COMSATS Institute of Information Technology, Abbotabad, Pakistan.
Jamila Bibi
- COMSATS Institute of Information Technology, Abbotabad, Pakistan.
Mohsan Raza
- Department of Mathematics, Government College University, Faisalabad, Pakistan.
Maslina Darus
- School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, Bangi , Selangor, Malaysia.
Abstract
In the present paper, we introduce a new subclass related to meromorphically
\(p\)-valent reciprocal starlike functions associated with the Liu-Srivastava
operator. Some sufficient conditions for functions belonging to this class
are derived. The results presented here improve and generalize some known
results.
Share and Cite
ISRP Style
Saqib Hussain, Jamila Bibi, Mohsan Raza, Maslina Darus, On subclass of meromorphic multivalent functions associated with Liu-Srivastava operator, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4954--4965
AMA Style
Hussain Saqib, Bibi Jamila, Raza Mohsan, Darus Maslina, On subclass of meromorphic multivalent functions associated with Liu-Srivastava operator. J. Nonlinear Sci. Appl. (2017); 10(9):4954--4965
Chicago/Turabian Style
Hussain, Saqib, Bibi, Jamila, Raza, Mohsan, Darus, Maslina. "On subclass of meromorphic multivalent functions associated with Liu-Srivastava operator." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4954--4965
Keywords
- Meromorphic functions
- convolution
- linear operator
MSC
References
-
[1]
N. E. Cho, I. H. Kim, Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function, Appl. Math. Comput., 187 (2007), 115–121.
-
[2]
P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer-Verlag, New York (1983)
-
[3]
J. Dziok, H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput., 103 (1999), 1–13.
-
[4]
I. S. Jack , Functions starlike and convex of order \(\alpha\), J. London Math. Soc., 3 (1971), 469–474.
-
[5]
W. Janowski , Some extremal problems for certain families of analytic functions, I, Bull. Acad. Polon. Sci. Sr. Sci. Math. Astronom. Phys., 21 (1973), 17–25.
-
[6]
J.-L. Liu, A linear operator and its applications on meromorphic p-valent functions, Bull. Inst. Math. Acad. Sinica, 31 (2003), 23–32.
-
[7]
J.-L. Liu, H. M. Srivastava, A linear operator and associated families of meromorphically multivalent functions, J. Math. Anal. Appl., 259 (2001), 566–581.
-
[8]
J.-L. Liu, H. M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling, 39 (2004), 21–34.
-
[9]
L. Liu, H. M. Srivastava , Subclasses of meromorphically multivalent functions associated with a certain linear operator, Math. Comput. Modelling, 39 (2004), 35–44.
-
[10]
L.-N. Ma, S.-H. Li, On certain class of meromorphically multivalent reciprocal starlike functions associated with the Liu- Srivastava operator defined by subordination, Filomat, 28 (2014), 1965–1982.
-
[11]
S. S. Miller, P. T. Mocanu, Differential subordinations and inequalities in the complex plane, J. Differential Equations, 67 (1987), 199–211.
-
[12]
S. S. Miller, P. T. Mocanu, Differential subordinations, Theory and applications, Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc., New York (2000)
-
[13]
R. K. Raina, H. M. Srivastava, A new class of meromorphically multivalent functions with applications to generalized hypergeometric functions, Math. Comput. Modelling, 43 (2006), 350–356.
-
[14]
H. Silverman, E. M. Silvia, Subclasses of starlike functions subordinate to convex functions, Canad. J. Math., 37 (1985), 48–61.
-
[15]
H. M. Srivastava, S. Owa (ed.) , Current topics in analytic function theory, World Scientific Publishing Co., Inc., River Edge, NJ (1992)
-
[16]
H. M. Srivastava, J. Patel, Some subclasses of multivalent functions involving a certain linear operator, J. Math. Anal. Appl., 310 (2005), 209–228.
-
[17]
Y. Sun, W.-P. Kuang, Z.-G. Wang, On meromorphic starlike functions of reciprocal order , Bull. Malays. Math. Sci. Soc., 35 (2012), 469–477.
-
[18]
B. A. Uralegaddi, C. Somanatha , New criteria for meromorphic starlike univalent functions, Bull. Austral. Math. Soc., 43 (1991), 137–140.
-
[19]
D.-G. Yang, On a class of meromorphic starlike multivalent functions , Bull. Inst. Math. Acad. Sinica, 24 (1996), 151–157.
-
[20]
D.-G. Yang, Some criteria for multivalently starlikeness, Southeast Asian Bull. Math., 24 (2000), 491–497.