Search Advanced

AIMS Mathematics

2017, Volume 2, Issue 2: 322-335. doi: 10.3934/Math.2017.2.322
Previous Article Next Article
Research article

Coeffcient bounds for a subclass of multivalent functions of reciprocal order

  • 1.
    Department of Mathematics Comsats Institute of Information Technology Park Road, Islamabad, Pakistan
  • 2.
    Department of Mathematics Abbottabad University of Science and Technology, Abbottabad, Pakistan
  • Received: 24 January 2017 Accepted: 25 May 2017 Published: 05 June 2017

  • The aim of this paper is to introduce a new subclass of multivalent functions of complex order and to study some interesting properties such as coeffcient estimates, suffciency criteria, Fekete-Szego inequality, inclusion result and integral preserving property for this newly defined class.

    Citation: Khalida Inayat Noor, Nazar Khan, Qazi Zahoor Ahmad. Coeffcient bounds for a subclass of multivalent functions of reciprocal order[J]. AIMS Mathematics, 2017, 2(2): 322-335. doi: 10.3934/Math.2017.2.322

    Related Papers:

  • The aim of this paper is to introduce a new subclass of multivalent functions of complex order and to study some interesting properties such as coeffcient estimates, suffciency criteria, Fekete-Szego inequality, inclusion result and integral preserving property for this newly defined class.


    加载中
    [1] M. Arif, K. I. Noor, M. Raza, Hankel determinant problem of a subclass of analytic fucntions, J.Ineq. Appl, 22 (2012), 1-7.
    [2] M. Arif, K. I. Noor, M. Raza, W. Haq, Some properties of a generalized class of analytic functions related with Janowski functions, Abst. Appl. Anal, (2012), 1-11.
    [3] B. C. Carlson, D. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal., 15 (1984), 737-745.
    [4] K. K. Dixit, A. L. Pathak, A new class of analytic functions with positive coeffcients, Ind. J. Pure. Appl. Math., 34 (2003), 209-218.
    [5] U. Grenander, G. Szego, Toeplitz Forms and Their Applications, University of California Press, Berkeley, 1958.
    [6] F. R. Keogh, E. P. Merkes, A coeffcient inequality for certain class of analytic functions, Proc. Amer. Math. Soc., 20 (1969), 8-12.
    [7] J. Nishiwaki, S. Owa, Coeffcient inequalities for certain analytic functios, Int. J. Math. Math Sci, 29 (2002), 285-290.
    [8] K. I. Noor, On the Hankel determinants of close-to-convex univalent functions, Int. J. Math. Math. Sci, 3 (1980), 447-481.
    [9] K. I. Noor, Hankel determinant problem for the class of functions with bounded boundary rotation, Revue Roumaine de Mathématiques Pures et Appliquées, 28 (1983), 731-739.
    [10] J. W. Noonan, D. K. Thomas, On second Hankel determinant of a really mean p-valent functions, Trans. Amer. Math. Soc, (1976), 337-346.
    [11] M. Nunokawa, S. Owa, J. Nishiwaki, K. Kuroki, T. Hayatni, Differential subordination and argumental property, Comput. Math. Appl., 56 (2008), 2733-2736.
    [12] S. Owa, J. Nishiwaki, Coeffcient estimates for certain classes of analytic functions, J. Ineq. Pure Appl. Math, 3 (2002), 1-5.
    [13] S. Owa, H. M. Srivastava, Some generalized convolution properties associated with certain subclasses of analytic functions, J. Ineq. Pure Appl. Math, 3 (2002), 1-13.
    [14] Y. Polatoglu, M. Blocal, A. Sen, E. Yavuz, An investigation on a subclass of p-valently starlike functions in the unit disc, Turk. J. Math., 31 (2007), 221-228.
    [15] C. Pommerenke, On the coeffcients and Hankel determinants of univalent functions, J. Lond. Math. Soc., 1 (1966), 111-122.
    [16] C. Pommerenke, On the Hankel determinants of univalent functions, Mathematika, 14 (1967), 108-112.
    [17] C. Pommerenke, Univalent Functions, Vandenhoeck and Ruprechet, Gottingen, 1975.
    [18] H. Saitoh, A linear operator and its application of first order differential subordinations, Math. Japon., 44 (1996), 31-38.
    [19] H. Saitoh, On certain subclasses of analytic functions involving a linear operator, in: Proceedings of the Second International Workshop, Japan, (1996), 401-411.
    [20] H. M. Srivastava, S. Owa, Some characterizations and distortions theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions, Nagoya Math. J., 106 (1987), 1-28.
    [21] B. A. Uralegaddi, M. D. Ganigi, S. M. Sarangi, Univalent functions with positive coeffcients, Tamkang J. Math., 25 (1994), 225-230.
    [22] N. Uyanik, H. Shiraishi, S. Owa, Y. Polatoglu, Reciprocal classes of p-valently spirallike and pvalently Robertson functions, J. Ineq. Appl. , (2011), 1-10.
  • Reader Comments
  • © 2017 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
AIMS Mathematics
1.8 3.4

Metrics

Article views(4068) PDF downloads(1048) Cited by(1)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog