Research Article

On a Janowski formula based on a generalized differential operator

Volume: 69 Number: 2 December 31, 2020
EN

On a Janowski formula based on a generalized differential operator

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

References

  1. 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.
  2. 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.
  3. Dunkl, C.F., Differential-difference operators associated with reflections groups, Trans. Am. Math. Soc., 311 (1989), 167--183.
  4. 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.
  5. Miller, S.S., Mocanu, P. T., Differential subordinations: theory and applications, CRC Press, 2000.
  6. Arif, M. et al., A New Class of Analytic Functions Associated with Sàlàgean Operator, Journal of Function Spaces, 2019 (2019).
  7. Sakaguchi, K., On a certain univalent mapping, Journal of the Mathematical Society of Japan, 11 (1959), 72--75.
  8. Das, R. N., Singh, P., On subclasses of schlicht mapping, Indian Journal of Pure and Applied Mathematics, 8 (1977), 864--872.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2020

Submission Date

May 1, 2019

Acceptance Date

August 26, 2020

Published in Issue

Year 1970 Volume: 69 Number: 2

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. https://izlik.org/JA89LF64NC
AMA
1.Ibrahim R. On a Janowski formula based on a generalized differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(2):1320-1328. https://izlik.org/JA89LF64NC
Chicago
Ibrahim, Rabha. 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): 1320-28. https://izlik.org/JA89LF64NC.
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
[1]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, Dec. 2020, [Online]. Available: https://izlik.org/JA89LF64NC
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 (December 1, 2020): 1320-1328. https://izlik.org/JA89LF64NC.
JAMA
1.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, Dec. 2020, pp. 1320-8, https://izlik.org/JA89LF64NC.
Vancouver
1.Rabha Ibrahim. On a Janowski formula based on a generalized differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2020 Dec. 1;69(2):1320-8. Available from: https://izlik.org/JA89LF64NC

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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