On Some new Results of a Subclass of Meromorphic Univalent Functions with Negative Coefficients Defined by liu – Srivastava Linear Operator
-
https://doi.org/10.14419/ijet.v7i4.36.24536
Received date: December 21, 2018
Accepted date: December 21, 2018
Published date: December 9, 2018
-
Meromorphic univalent functions, coefficients inequalities, growth and distortion, partial sums, convolution properties, Liu – Srivastava linear operator. -
Abstract
In this paper, we introduce and study a new subclass of meromorphic univalent functions with negative coefficients defined by Liu – Srivastava linear operator in the We obtain some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, partial sums and convolution properties.
-
References
- Aouf MK, “On a certain class of meromorphic univalent functions with positive coefficients”, Rend. Mat. Apple., Vol.7, No.11, (1991), pp.209-219.
- Atshan WG &Kulkarni SR, “Subclass of meromorphic functions withpositive coefficients defined by Ruscheweyh derivative”, J. Rajasthan Acad. Phys. Sci., Vol.6, No.2, (2007), pp.129-140.
- Chen MP, Rmark H, Srivastava HM & Yn CS, “Certain subclass of meromorphically univalent with positive or negative coefficients”, Pan Amer. Math. J., Vol.6, (1996), pp.56-77.
- Darus M, “Meromorphic functions with positive coefficients”, Int .J. Math. Sci, Art., (2010).
- Dziok J & Srivastava HM, “Classes of analytic functions associated with the generalized hyper geometric function”, Applied Mathematics and computation, Vol.103, No.1, (1999), pp.1-13.
- Liu MS & Song NS, “Two new subclass of meromorphiclly multivalent functions associated with generalized hypergeometric function”, J. Southeast Asian Bull. Math., Vol.34, (2010), pp.705-727.
- Liu JL & Srivastava HM, “A linear operator and associated families of meromorphically multivalent functions”, J. Math. Anal. Appl., Vol.259, (2001), pp.566-581.
- Miller JE, “Convex meromorphic mapping and related functions”, Proc. Amer. Math. Soc., Vol.25, (1970), pp.220-228.
- Mogra ML, Reddy T & Juneja OP, “Meromorphic univalent functions with positive coefficients”, Bull. Aust. Math. Soc., Vol.32, (1985), pp.161-176.
- Miller SS & Mocanu PT, “Differential subordinations: Theory and Applications”, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, (2000).
- Sivaprasadkumar S, Ravichandran V & Murugusundaramoorthy G, “Class of meromorphic p-valentstar like functions with positive coefficients”, Aust. J. Math. Anal. Appl., Vol.2, No.2, (2005).
-
Downloads
-
How to Cite
Mohammed Darweesh, A. (2018). On Some new Results of a Subclass of Meromorphic Univalent Functions with Negative Coefficients Defined by liu – Srivastava Linear Operator. International Journal of Engineering and Technology, 7(4.36), 806-809. https://doi.org/10.14419/ijet.v7i4.36.24536
