Certain class of analytic functions involving Salagean type q-difference operator
Abstract
In
this paper, we define a new subclass of analytic functions with negative coefficients
involving Salagean type q-difference operator and discuss certain characteristic
properties and inclusion relations involving Nδ(e) of this generalized function
class. Further, we determine partial sums results for the function class. The
usefulness of the main result not only provide the unification of the results
discussed in
the literature but also generate certain new results.
Keywords
References
- [1] S¸ . Altınkaya, and S. Yalc¸ın, Faber polynomial coefficient estimates for a class of bi-univalent functions based on the symmetric q-derivative operator, Journal of Fractional Calculus and Applications, Vol:8, No:2 (2017), 79-87.
- [2] S¸ . Altınkaya, and S. Yalc¸ın, On the Fekete-Szeg¨o problem for analytic functions defined by using symmetric q-derivative operator, Konuralp Journal of Mathematics, Vol:5, No:1 (2017), 176-186.
- [3] S. Araci, U. Duran, M. Acikgoz and H. M. Srivastava, A certain (p, q)-derivative operator and associated divided differences, J. Inequal. Appl., (2016) 2016:301.
- [4] Aral, A., Gupta, V. and Agarwal, R. P., Applications of q-calculus in operator theory, Springer, New York, 2013.
- [5] B.A. Frasin, Partial sums of certain analytic and univalent functions, Acta Math. Acad. Paed. Nyir. Vol:21 (2005), 135-145.
- [6] B.A. Frasin and G.Murugusundaramoorthy Partial sums of certain analytic functions, Mathematica,Tome 53, Vol:76, No:2,(2011), 131-142.
- [7] A.W.Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc., Vol:8 (1957), 598-601.
- [8] F. H. Jackson, On q-functions and a certain difference operator, Transactions of the Royal Society of Edinburgh, Vol:46 (1908), 253-281.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 15, 2018
Submission Date
November 21, 2017
Acceptance Date
October 3, 2018
Published in Issue
Year 2018 Volume: 6 Number: 2
