Inclusion Properties on a Class of Meromorphic Functions Defined by a Linear Operator
In the present paper, we study a certain class of meromorphic univalent functions f(z) dened by the linear operator L(α,β) f (z). The aim of the present paper is to prove some properties for the class Σα,β,kλ;(h) to satisfy the certain subordination.
AMS Subject Classication: 30C45
Cho, N.E. & Kim, I.H., Inclusion Properties of Certain Classes of Meromorphic Functions Associated with the Generalized Hypergeometric Function, Applied Mathematics and Computation, 187(1), pp. 115-121, 2007.
Dziok, J. & Srivastava, H.M., Some Subclasses of Analytic Functions with Fixed Argument of Coefficients Associated with the Generalized Hypergeometric Function, Adv. Stud. Contemp. Math. Kyungshang, 5(2), pp. 115-125, 2002.
Dziok, J. & Srivastava, H.M., Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function, Integral Transforms Spec. Funct., 14(1), pp. 7-18, 2003.
Ghanim, F., A Study of a Certain Subclass of Hurwitz-Lerch Zeta Function Related to a Linear Operator, Abstr. Appl. Anal., 2013, pp. 1-7, 2013.
Ghanim, F. & Darus, M., Some Properties on A Certain Class of Meromorphic Functions Related to Cho-Kwon-Srivastava Operator, Asian-European Journal of Mathematics, 5(4), pp. 1-9, 2012.
Liu, J.L., A Linear Operator and Its Applications On Meromorphic P-Valent Functions, Bull. Inst. Math., Acad. Sin., 31(1), pp. 23-32, 2003.
Liu, J.L. & Srivastava, H.M., A Linear Operator and Associated Families of Meromorphically Multivalent Functions, J. Math. Anal. Appl., 259(2), pp. 566-581, 2001.
Srivastava, H.M., Gaboury, S. & Ghanim, F., Certain Subclasses of Meromorphically Univalent Functions Defined by A Linear Operator Associated with The λ-Generalized Hurwitz-Lerch Zeta Function, Integral Transforms Spec. Funct., 26(4), pp. 258-272, 2015.
Srivastava, H.M., Gaboury, S. & Ghanim, F., Some Further Properties of A Linear Operator Associated with the λ-Generalized Hurwitz-Lerch Zeta Function Related to The Class of Meromorphically Univalent Functions, Applied Mathematics and Computation, 259, pp. 1019-1029, 2015.
Ghanim, F. & Darus, M., Certain Subclasses of Meromorphic Functions Related to Cho-Kwon-Srivastava Operator, Far East Journal of Mathematical Sciences, 48(2), pp. 159-173, 2011.
Ghanim, F. & Darus, M., Some Results of p-Valent Meromorphic Functions Defined by A Linear Operator, Far East Journal of Mathematical Sciences, 44(2), pp. 155-165, 2010.
Ghanim, F. & Darus, M., Some Properties of Certain Subclass of Meromorphically Multivalent Functions Defined by Linear Operator, Journal of Mathematics and Statistics, 6(1), pp. 34-41, 2010.
Ghanim, F. & Darus, M., Linear Operators Associated with Subclass of Hypergeometric Meromorphic Uniformly Convex Functions, Acta Univ. Apulensis, Math. Inform., 17, pp. 49-60, 2009.
Ruscheweyh, S., Convolutions in Geometric Function Theory, Les Presses de 1'Universitè de Montréal, Montréal, 1982.
Yang, D.G. & Liu, J.L., Multivalent Functions Associated with A Linear Operator, Applied Mathematics and Compution, 204, pp. 862-871, 2008.
Miller, S.S. & Mocanu, P.T., Differential Subordinations and Univalent Functions, Michigan Math. J., 28, pp. 157-171, 1981.
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