Bounds for the Second $q$-Hankel Determinant of Certain Univalent Functions


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Authors

  • Hamid Shamsan Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, India
  • Fuad S. M. Alsarari Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, India
  • S. Latha Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, India

Keywords:

Second Hankel determinant, subordination, $q$-starlike and $q$-convex functions

Abstract

We study the estimates for the Second $q$-Hankel determinant of analytic functions in a class which unifies a number of classes studied previously by Deepak Bansal, K. I. Noor, T. Yavuz, Sarika Verma, Shigeyoshi Owa and others. Our class includes $q$-convex, $q$-starlike functions and Ma-Minda starlike and convex functions.

 

 

Author Biographies

Hamid Shamsan, Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, India

 

 

Fuad S. M. Alsarari, Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, India

 

 

S. Latha, Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, India

 

 

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Published

01-03-2018

How to Cite

Hamid Shamsan, Fuad S. M. Alsarari, & S. Latha. (2018). Bounds for the Second $q$-Hankel Determinant of Certain Univalent Functions. International Journal of Mathematics And Its Applications, 6(1 - D), 809–817. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1144

Issue

Vol. 6 No. 1 - D (2018)

Section

Research Article

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