Families of Multivalent Analytic Functions Associated with the Convolution Structure
Abstract
The main aim of the present paper is to introduce a new class of multivalent analytic functions by using the familiar concept’s of convolution structure. The results investigated in the present paper include the characterization properties for this class of analytic functions. Some new and interesting consequences of our results are also pointed out.Downloads
References
Bernardi, S. D. (1969) Convex and starlike univalent functions, Trans. Am. Math. Soc., 135, 429446.
Carlson, B.C. and Shaffer, D.B. (1984) Starlike and prestarlike hypergeometric functions, SIAM
J. Math. Anal., 15(4), 737-745.
Chaurasia, V. B. L. and Parihar, H. S. (2010) On subordination for certain analytic functions
associated with Fox-Wright psi functions, Bull. Belg. Math. Soc. Simon Stevin, 17(2), 1-7. 251257.
Dziok, J.andSrivastava, H.M.(1999)Classesofanalyticfunctionsassociatedwiththegeneralised
hypergeometric function, Appl. Math. Comput., 103, 1-13.
Dziok, J. and Srivastava, H. M. (2003) Certain subclasses of analytic functions associated with the
generalised hypergeometric function, Integral Transform Spec. Funct., 14, 7-18.
Hohlov, Ju. E. (1978) Operators and operations on the class of univalent functions, Izv. Vyssh.
Uchebn. Zaved. Mat., 10(197), 83-89.
Libera,R.J.(1965)Someclassesofregularunivalentfunctions, Proc. Am. Math. Soc.,17,755-758.
Livingston, A.E.(1966)Ontheradiusofunivalenceofcertainanalyticfunctions, Proc. Am. Math.
Soc., 17, 352-357.
Murugusundaramoorthy, G., Srivastava, H.M. (2004) Neighborhood of certain classes of analytic
functions of complex order, Journal of Inequalities in Pure and Applied Mathematics, 5(2), article(24).
Nasr, M. A. and Aouf, M. K. (1982) On convex functions of complex order, Mansoure Sci. Bull.
Egypt, 9, 565-582.
Nasr, M. A. and Aouf, M. K. (1985) Starlike function of complex order, J. Natur. Sci. Math.,
(1), 1-12.
Owa, S. (1978) On the distortion theorems, I, Kyungpook Math. J., 18, 53-59.
Owa,S. and Srivastava, H. M. (1987) Univalent and starlike generalized hypergeometric functions,
Canad. J. Math., 39, 1057-1077.
Ruscheweyh, S. (1975) New criteria for univalent functions, Proc. Amer. Math. Soc., 49,109-115.
Srivastava,H.M.(2001)Somefamiliesoffractionalderivativeandotherlinearderivativeoperators
associated with analytic, univalent and multivalent functions, in: K. S. Lakshmi(Ed), Proceedings
of International Conference on Analytic and Its Applications, Allied Publishers Limited, New Delhi
and Chennai, 209-243.
Srivastava, H. M. and Owa, S.(Eds) (1992) Current Topic in Analytic Function Theory, World
Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong.
Waitrowski, P. (1971) Subordinating factor sequence for convex, Zeszyty Nauk. Uniw. Lodz. Nauki
Mat. Przyrod. Ser. II, 39, 75-85.
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