Welcome to Open Science
Contact Us
Home Books Journals Submission Open Science Join Us News
Majorization Properties for Subclass of Meromorphic Univalent Functions Defined by Convolution
Current Issue
Volume 3, 2015
Issue 3 (June)
Pages: 74-78   |   Vol. 3, No. 3, June 2015   |   Follow on         
Paper in PDF Downloads: 47   Since Aug. 28, 2015 Views: 1973   Since Aug. 28, 2015
Authors
[1]
R. M. El-Ashwah, Department of Mathematics, Faculty of Science, Damietta University, New Damietta, Egypt.
[2]
M. K. Aouf, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.
Abstract
The object of the present paper is to use the majorization principle and the Hadamard product between to analytic functions to investigate the majorization properties for certain subclass of meromorphic univalent functions which are analytic in the open punctured unit disc defined by convolution. Also, application using some linear operator are obtained.
Keywords
Meromorphic Functions, Hadamard Product, Majorization
Reference
[1]
O. Altintas, O. Ozkan and H. M. Srivastava, Majorization by starlike functions of complex order, Complex Var., 46(2001), 207-218.
[2]
M. K. Aouf, Certain subclasses of meromorphically multivalent functions associated with generalized hypergeometric function, Comput. Math. Appl., 55 (2008), 494--509
[3]
M. K. Aouf, A certain subclass of meromorphically starlike functions with positive coefficients, Rend. Mat., 9(1989), 255-235.
[4]
M. K. Aouf, On a certain class of meromorphically univalent functions with positive coefficients, Rend. Mat., 11(1991), 209-219.
[5]
T. Bulboaca, M. K. Aouf, and R. M. El-Ashwah, Convolution properties for subclasses of meromorphic univalent functions of complex order, Filomat, 26(2012), no. 1, 153-163.
[6]
N. E. Cho, On certain class of meromorphic functions with positive coefficients, J. Inst. Math. Comput. Sci., 3(1990), no. 2, 119-125.
[7]
N. E. Cho, S. H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Kobe J. Math., 4(1987), 43-50.
[8]
R. M. EL-Ashwah, Argument properties for -valent meromorphic functions defined by differintegral operator, Southeast Asian Bull.Math. (To appear).
[9]
R. M. El-Ashwah, Properties of certain class of -valent meromorphic functions associated with new integral operator, Acta Univ. Apulensis, 29(2012), 255-264.
[10]
R. M. El-Ashwah, Majorization properties for subclass of analytic p-valent functions defined by the generalized hypergeometric functions, Tamsue Oxford J. information math. Sci., 28 (2012), no. 4, 395-05.
[11]
R. M. El-Ashwah and M. K. Aouf, Majorization properties for subclasses of analytic p-valent functions defined by convolution, Kyungpook Math. J. 53(2013), 615-624.
[12]
R. M. EL-Ashwah, M. K. Aouf and T. Bulboaca, Differential subordinations for classes of meromorphic -valent functions defined by multiplier transformations, Bull. Aust. Math. Soc., 83(2011), 353-368.
[13]
S. P. Goyal and P. Goswami, Majorization for certain classes of meromorphic functions defined by integral operator, Anna. Univ. Mariae Curie-Sklodowska lublin-polonia Sect. A, 66(2012), no. 2, 57-62.
[14]
J. L. Liu and H. M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling, 39 (2004), 21-34.
[15]
T. H. MacGregor, Majorization by univalent functions, Duke Math. J., 34(1967), 95-102.
[16]
S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker Inc., New York. and Basel, 2000.
[17]
J. E. Miller, Convex meromrphic mapping and related functions, Proc. Amer. Math. Soc., 25(1970), 220-228.
[18]
M. L. Mogra, T. Reddy and O. P. Juneja, Meromrphic univalent functions with positive coefficients, Bull. Aust. Math. Soc., 32(1985), 161-176.
[19]
Z. Nehari, Conformal Mapping, MacGraw-Hill Book Company, New York, Toronto and London, 1952.
[20]
Ch. Pommerenke, On meromrphic starlike functions, Pacific J. Math., 13(1963), 221-235.
Open Science Scholarly Journals
Open Science is a peer-reviewed platform, the journals of which cover a wide range of academic disciplines and serve the world's research and scholarly communities. Upon acceptance, Open Science Journals will be immediately and permanently free for everyone to read and download.
CONTACT US
Office Address:
228 Park Ave., S#45956, New York, NY 10003
Phone: +(001)(347)535 0661
E-mail:
LET'S GET IN TOUCH
Name
E-mail
Subject
Message
SEND MASSAGE
Copyright © 2013-, Open Science Publishers - All Rights Reserved