Certain new classes of meromorphic functions related with a convolution operator

Article Sidebar

PDF
Published: Mar 30, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.797
Keywords:
Meromorphic functions convolution integral operator.

Main Article Content

Saqib Hussain
Adil Wahid Butt
Muhammad Zahid

Abstract

Recently, Hussain [Hussain, Saqib (2010). Some applications of Miller-Mocanu lemma on certain classes of meromorphic functions, \textquotedblright Appl. Math. Comput.\textquotedblright , 216(2010), 3016-3021], introduced certain new classes of meromorphic functions using newly defined convolution operators. The purpose of present investigation is to extend the work of Hussain by considering some new classes of meromorphic functions. We derive some inclusion relationships, coefficient bound, integral representation and extreme point theorem.

Article Details

How to Cite
Hussain, S., Butt, A. W., & Zahid, M. (2013). Certain new classes of meromorphic functions related with a convolution operator. Tamkang Journal of Mathematics, 44(1), 1–10. https://doi.org/10.5556/j.tkjm.44.2013.797
Issue
Vol. 44 No. 1 (2013)
Section
Papers
Author Biographies

Saqib Hussain

Department ofMathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan.

Adil Wahid Butt

Department ofMathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan.

Muhammad Zahid

Department ofMathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan.

References

N. E. Cho and K. I. Noor, Inclusion properties for certain classes of meromorphic functions associated with Choi-Saigo-Srivastava operator, J. Math. Anal. Appl., 320(2006), 779--786.

J. H. Choi, M. Saigo and H. M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl.,276(2002), 432--445.

S. Hussain, Some applications of Miller-Mocanu lemma on certain classes of meromorphic functions, Appl. Math. Comput.,216(2010), 3016--3021.

S. S. Miller, Differential inequalities and Caratheodory functions, Bull. Amer. Math. Soc., 81(1975), 79--81.

K. I. Noor, On subclasses of close-to-convex functions of higher order, Int. J. Math. Math. Sci., 15(1992), 279--290.

K. I. Noor, On certain classes of meromorphic functions involving integral operators, J. Ineq. Pure. Appl. Math, Vol.7(2006),1--8.

K. S. Padmanabhan and R. Parvatham, Properties of a class of functions with bounded boundary rotation, Ann. Polon. Math.,31(1975), 311--323.

K. Piejko and J. Sokol, Subclasses of meromorphic functions associated with the Cho--Kwon--Srivastava operator, J. Math. Anal.Appl., 337(2008), 1261--1266.

B. Pinchuk, Functions of bounded boundary rotation, Isr. J. Math., 10(1971), 6--16.

S. M. Yuan, Z. M. Liu and H. M. Srivastava, Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators, J. Math. Anal. Appl., 337(2008),

-515.