On a Janowski formula based on a generalized differential operator

Rabha Ibrahim

Research Article

Year 2020, Volume: 69 Issue: 2, 1320 - 1328, 31.12.2020

Rabha Ibrahim

Abstract

References

Ibrahim, R.W., Darus, M., Subordination inequalities of a new Salagean-difference operator, International Journal of Mathematics and Computer Science, 14 (3) (2019), 573--582.
Sàlàgean, G.S., Subclasses of univalent functions, Complex Analysis-Fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981), Lecture Notes in Math., vol. 1013, Springer, Berlin, (1983), 362--372.
Dunkl, C.F., Differential-difference operators associated with reflections groups, Trans. Am. Math. Soc., 311 (1989), 167--183.
Ibrahim, R. W., New classes of analytic functions determined by a modified differential-difference operator in a complex domain, Karbala International Journal of Modern Science, 3 (1) (2017), 53--58.
Miller, S.S., Mocanu, P. T., Differential subordinations: theory and applications, CRC Press, 2000.
Arif, M. et al., A New Class of Analytic Functions Associated with Sàlàgean Operator, Journal of Function Spaces, 2019 (2019).
Sakaguchi, K., On a certain univalent mapping, Journal of the Mathematical Society of Japan, 11 (1959), 72--75.
Das, R. N., Singh, P., On subclasses of schlicht mapping, Indian Journal of Pure and Applied Mathematics, 8 (1977), 864--872.
Kuroki, K., Owa, S., Some subordination criteria concerning the Salagean operator, Journal of Inequalities in Pure and Applied Mathematics, 10 (2) (2009), 1--11.
Noor, K.I. et al., Some applications of certain integral operators involving functions, Tamkang Journal of Mathematics, 49 (2018), 25--34.

On a Janowski formula based on a generalized differential operator

Year 2020, Volume: 69 Issue: 2, 1320 - 1328, 31.12.2020

Rabha Ibrahim

Abstract

The central purpose of the current paper is to consider a set of beneficial

possessions including inequalities for a generalized subclass of Janowski functions (analytic

functions) which are formulated here by revenues of a generalized Sàlàgean’s differential operator.

Numerous recognized consequences of the outcomes are also indicated

Keywords

Differential operator; unit disk; analytic function

References

Ibrahim, R.W., Darus, M., Subordination inequalities of a new Salagean-difference operator, International Journal of Mathematics and Computer Science, 14 (3) (2019), 573--582.
Sàlàgean, G.S., Subclasses of univalent functions, Complex Analysis-Fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981), Lecture Notes in Math., vol. 1013, Springer, Berlin, (1983), 362--372.
Dunkl, C.F., Differential-difference operators associated with reflections groups, Trans. Am. Math. Soc., 311 (1989), 167--183.
Ibrahim, R. W., New classes of analytic functions determined by a modified differential-difference operator in a complex domain, Karbala International Journal of Modern Science, 3 (1) (2017), 53--58.
Miller, S.S., Mocanu, P. T., Differential subordinations: theory and applications, CRC Press, 2000.
Arif, M. et al., A New Class of Analytic Functions Associated with Sàlàgean Operator, Journal of Function Spaces, 2019 (2019).
Sakaguchi, K., On a certain univalent mapping, Journal of the Mathematical Society of Japan, 11 (1959), 72--75.
Das, R. N., Singh, P., On subclasses of schlicht mapping, Indian Journal of Pure and Applied Mathematics, 8 (1977), 864--872.
Kuroki, K., Owa, S., Some subordination criteria concerning the Salagean operator, Journal of Inequalities in Pure and Applied Mathematics, 10 (2) (2009), 1--11.
Noor, K.I. et al., Some applications of certain integral operators involving functions, Tamkang Journal of Mathematics, 49 (2018), 25--34.

There are 10 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Rabha Ibrahim 0000-0001-9341-025X
Submission Date	May 1, 2019
Acceptance Date	August 26, 2020
Publication Date	December 31, 2020
Published in Issue	Year 2020 Volume: 69 Issue: 2

Cite

APA	Ibrahim, R. (2020). On a Janowski formula based on a generalized differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(2), 1320-1328.
AMA	Ibrahim R. On a Janowski formula based on a generalized differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. December 2020;69(2):1320-1328.
Chicago	Ibrahim, Rabha. “On a Janowski Formula Based on a Generalized Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69, no. 2 (December 2020): 1320-28.
EndNote	Ibrahim R (December 1, 2020) On a Janowski formula based on a generalized differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 2 1320–1328.
IEEE	R. Ibrahim, “On a Janowski formula based on a generalized differential operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 2, pp. 1320–1328, 2020.
ISNAD	Ibrahim, Rabha. “On a Janowski Formula Based on a Generalized Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/2 (December2020), 1320-1328.
JAMA	Ibrahim R. On a Janowski formula based on a generalized differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:1320–1328.
MLA	Ibrahim, Rabha. “On a Janowski Formula Based on a Generalized Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 2, 2020, pp. 1320-8.
Vancouver	Ibrahim R. On a Janowski formula based on a generalized differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(2):1320-8.