SOME RESULTS ON UNIVALENT HOLOMORPHIC
FUNCTIONS BASED ON q-ANALOGUE OF NOOR OPERATOR

Abstract

The main object of this paper is to define a new sublclass of univalent holomorphic functions along with the recently defined of Noor operator. We obtained a number of useful properties such as: coefficient bounds, extreme points, radii of starlikeness, convexity and close-to-convexity and weighted mean.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 5
Year: 2019

DOI: 10.12732/ijam.v32i5.5

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References

  1. [1] A. Aral, V. Gupta, and R. P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, 2013.
  2. [2] M. Arif, M. U. Haq, and J.-L. Liu, A subfamily of univalent functions associated with-analogue of Noor integral operator, J. of Function Spaces, 2018 (2018), Art. # 3818915, 5 pp.
  3. [3] H. Exton, q-Hypergeometric Functions and Applications, Horwood, 1983.
  4. [4] G. Gasper, M. Rahman, and G. George, Basic Hypergeometric Series, Volume 96, Cambridge University Press, 2004.
  5. [5] K. I. Noor, On new classes of integral operators. J. Natur. Geom., 16, No 1-2 (1999), 71-80.
  6. [6] K. I. Noor and M. A. Noor, On integral operators, J. of Math. Anal. and Appl., 238, No 2 (1999), 341-352.