Research Article

Certain class of analytic functions involving Salagean type q-difference operator

Volume: 6 Number: 2 October 15, 2018
EN

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. [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. [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. [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. [4] Aral, A., Gupta, V. and Agarwal, R. P., Applications of q-calculus in operator theory, Springer, New York, 2013.
  5. [5] B.A. Frasin, Partial sums of certain analytic and univalent functions, Acta Math. Acad. Paed. Nyir. Vol:21 (2005), 135-145.
  6. [6] B.A. Frasin and G.Murugusundaramoorthy Partial sums of certain analytic functions, Mathematica,Tome 53, Vol:76, No:2,(2011), 131-142.
  7. [7] A.W.Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc., Vol:8 (1957), 598-601.
  8. [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

APA
Yalçın, S., Vijaya, K., & Murugusundaramoorthy, G. (2018). Certain class of analytic functions involving Salagean type q-difference operator. Konuralp Journal of Mathematics, 6(2), 264-271. https://izlik.org/JA92HR22AC
AMA
1.Yalçın S, Vijaya K, Murugusundaramoorthy G. Certain class of analytic functions involving Salagean type q-difference operator. Konuralp J. Math. 2018;6(2):264-271. https://izlik.org/JA92HR22AC
Chicago
Yalçın, Sibel, Kaliappan Vijaya, and Gangadharan Murugusundaramoorthy. 2018. “Certain Class of Analytic Functions Involving Salagean Type Q-Difference Operator”. Konuralp Journal of Mathematics 6 (2): 264-71. https://izlik.org/JA92HR22AC.
EndNote
Yalçın S, Vijaya K, Murugusundaramoorthy G (October 1, 2018) Certain class of analytic functions involving Salagean type q-difference operator. Konuralp Journal of Mathematics 6 2 264–271.
IEEE
[1]S. Yalçın, K. Vijaya, and G. Murugusundaramoorthy, “Certain class of analytic functions involving Salagean type q-difference operator”, Konuralp J. Math., vol. 6, no. 2, pp. 264–271, Oct. 2018, [Online]. Available: https://izlik.org/JA92HR22AC
ISNAD
Yalçın, Sibel - Vijaya, Kaliappan - Murugusundaramoorthy, Gangadharan. “Certain Class of Analytic Functions Involving Salagean Type Q-Difference Operator”. Konuralp Journal of Mathematics 6/2 (October 1, 2018): 264-271. https://izlik.org/JA92HR22AC.
JAMA
1.Yalçın S, Vijaya K, Murugusundaramoorthy G. Certain class of analytic functions involving Salagean type q-difference operator. Konuralp J. Math. 2018;6:264–271.
MLA
Yalçın, Sibel, et al. “Certain Class of Analytic Functions Involving Salagean Type Q-Difference Operator”. Konuralp Journal of Mathematics, vol. 6, no. 2, Oct. 2018, pp. 264-71, https://izlik.org/JA92HR22AC.
Vancouver
1.Sibel Yalçın, Kaliappan Vijaya, Gangadharan Murugusundaramoorthy. Certain class of analytic functions involving Salagean type q-difference operator. Konuralp J. Math. [Internet]. 2018 Oct. 1;6(2):264-71. Available from: https://izlik.org/JA92HR22AC
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