ON CERTAIN CLASSES OF UNIVALENT MEROMORPHIC FUNCTIONS ASSOCIATED WITH INTEGRAL OPERATORS

Year 2014, Volume: 4 Issue: 1, 45 - 49, 01.06.2014

F. Ghanim

Abstract

This paper illustrates how some inclusion relationships of certain class of univalent meromorphic functions may be defined by using the linear operator. Further, a property preserving integrals is considered for the final outcome of the study

Keywords

Function, Meromorphic Function, Integral Operator, Linear Operator, Hadamard Product, Hypergeometric Function.

References

• Lashin, A. Y., (1993), On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 176(1) , 138-147.
• Ghanim, F. and Darus, M., (2011), A new class of meromorphically analytic functionswith applications to generalized hypergeometric functions, Abstract and Applied Analysis, 2011, Article ID 159405, 10 pages, doi:10.1155/2011/159405.
• Jung, I. B., Kim, Y. C. and Srivastava, H. M., (2003),The Hardy space of analytic functions associ- ated with certain one-parameter families of integral operators, Journal ofMathematical Analysis and Applications, 24, 111-120.
• Jack, I. S., (1971), Functions starlike and convex of order, J. London Math. Soc., 3(2), 469-474.
• Liu, J. L., (2001),The Noor integral operator and strongly starlike functions, J. Math. Anal. Appl., , 441-447.
• Noor, K. I., On new classes of integral operators, J. Natur. Geom., 16 (1999), 71-80.
• Noor, K. I., and Noor, M. A., (1999), On integral operators, J. Natur. Geom., 238, 341-352.
• K. Knopp, Meromorphic functions. , Ch. 2 in theory of functions parts I and II, two volumes bound as one, part II., New York: Dover (1996),pp. 34-57.
• Kumar Pandey, R., (2008), Applied Complex Analysis, Discovery Publishing House, Grand Rapids, Michigan.
• Krantz, S. G., (1999), Meromorphic functions and singularities at infinity, Handbook of Complex
• Variables., Boston, MA: Birkhuser ,pp. 63-68. Nehari, Z.,(1952), Conformal Mapping, McGraw-Hill Book Company, New York, Toronto and London.
• Wang, Z. G., Liu, Z.H. and Sun, Y., (2009),Some subclasses of meromorphic functions associated with a family of integral operators, J. Inequal. Appl., Article ID 931230, 1-18.