Coefficients Bounds of Multivalent Function Connected with q-Analogue of Salagean Operator

Authors

Sheza M. El-Deeb, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt\\ Department of Mathematics, College of Science and Arts in Badaya, Qassim University, Buraidah 51452, Saudi ArabiaFollow
Bassant M. El-Matary, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt\\ Department of Mathematics, College of Science and Arts in Badaya, Qassim University, Buraidah 51452, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

Using q-analogue of Salagean operator, we investigate subclass of multivalent functions in the open unit disk ∆ . We obtain 􏰕 z(Dq(Dn f(z)) 􏰖 Fekete-Szego ̋ inequalities for a certain class of analytic functions f satisfying 1 + 1 1 p,q − 1 ≺ Υ (z). Applications of ζ [ p ] q D pn , q f ( z ) our results to certain functions defined by convolution products with a normalized analytic function are given. Moreover, Fekete-Szego ̋ inequalities for certain subclasses of functions defined through Poisson distribution are obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140613

Recommended Citation

M. El-Deeb, Sheza and M. El-Matary, Bassant (2020) "Coefficients Bounds of Multivalent Function Connected with q-Analogue of Salagean Operator," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 13.
DOI: http://dx.doi.org/10.18576/amis/140613
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/13