Research Article

Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions

Volume: 47 Number: 2 April 1, 2018
  • Muhammad Arif
  • Zhi-gang Wang *
  • Rafiullah Khan
  • See Keong Lee
EN

Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions

Abstract

The purpose of the present paper is to introduce and study some new subclasses of Sakaguchi-type functions defined by using the concept of Janowski functions in conic regions. Various interesting properties such as sufficiency criteria, coefficient estimates and distortion result are investigated for these function classes.

Keywords

References

  1. M. Arif, S. Mehmood, J. Sokól and J. Dziok, New subclass of analytic functions in conical domain associated with a linear operator, Acta Math. Sci., 36B (2016), 704–7016.
  2. N. E. Cho, The Noor integral operator and strongly close-to-convex functions, J. Math. Anal. Appl., 283 (2003), 202–212.
  3. N. E. Cho, O. S. Kwon and H. M. Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl., 292 (2004), 470–480.
  4. A. W. Goodman, Univalent functions, Vol. I & II, Polygonal Publishing House, Washington, New Jersey, 1983.
  5. W. Haq and S. Mahmood, Certain properties of a class of close-to-convex functions related to conic domains, Abstr. Appl. Anal., 2013 (2013), 6 pp.
  6. W. Janowski, Some extremal problems for certain families of analytic functions, Ann. Polon. Math., 28 (1973), 297–326.
  7. S. Kanas, Techniques of the differential subordination for domains bounded by conic sections, Int. J. Math. Math. Sci., 38 (2003), 2389–2400.
  8. S. Kanas and A. Wisniowska, Conic domains and starlike functions, Rev. Roumaine Math. Pures Appl., 45 (2000), 647–657.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Muhammad Arif This is me

Zhi-gang Wang * This is me

Rafiullah Khan This is me

See Keong Lee This is me

Publication Date

April 1, 2018

Submission Date

December 1, 2016

Acceptance Date

January 31, 2017

Published in Issue

Year 2018 Volume: 47 Number: 2

APA
Arif, M., Wang, Z.- gang, Khan, R., & Lee, S. K. (2018). Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions. Hacettepe Journal of Mathematics and Statistics, 47(2), 261-271. https://izlik.org/JA92XS37EY
AMA
1.Arif M, Wang Z gang, Khan R, Lee SK. Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions. Hacettepe Journal of Mathematics and Statistics. 2018;47(2):261-271. https://izlik.org/JA92XS37EY
Chicago
Arif, Muhammad, Zhi-gang Wang, Rafiullah Khan, and See Keong Lee. 2018. “Coefficient Inequalities for Janowski-Sakaguchi Type Functions Associated With Conic Regions”. Hacettepe Journal of Mathematics and Statistics 47 (2): 261-71. https://izlik.org/JA92XS37EY.
EndNote
Arif M, Wang Z- gang, Khan R, Lee SK (April 1, 2018) Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions. Hacettepe Journal of Mathematics and Statistics 47 2 261–271.
IEEE
[1]M. Arif, Z.- gang Wang, R. Khan, and S. K. Lee, “Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 2, pp. 261–271, Apr. 2018, [Online]. Available: https://izlik.org/JA92XS37EY
ISNAD
Arif, Muhammad - Wang, Zhi-gang - Khan, Rafiullah - Lee, See Keong. “Coefficient Inequalities for Janowski-Sakaguchi Type Functions Associated With Conic Regions”. Hacettepe Journal of Mathematics and Statistics 47/2 (April 1, 2018): 261-271. https://izlik.org/JA92XS37EY.
JAMA
1.Arif M, Wang Z- gang, Khan R, Lee SK. Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions. Hacettepe Journal of Mathematics and Statistics. 2018;47:261–271.
MLA
Arif, Muhammad, et al. “Coefficient Inequalities for Janowski-Sakaguchi Type Functions Associated With Conic Regions”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 2, Apr. 2018, pp. 261-7, https://izlik.org/JA92XS37EY.
Vancouver
1.Muhammad Arif, Zhi-gang Wang, Rafiullah Khan, See Keong Lee. Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Apr. 1;47(2):261-7. Available from: https://izlik.org/JA92XS37EY