Research Article

On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points

Volume: 49 Number: 2 April 2, 2020
EN

On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points

Abstract

In this paper, we define new subclasses of $k$-uniformly Janowski starlike and $k$-uniformly Janowski convex functions associated with $t$-symmetric points. The integral representations, convolution properties and coefficient bounds for these classes are studied.

Keywords

References

  1. [1] M. Arif, K.I. Noor, and R. Khan, On subclasses of analytic functions with respect to symmetrical points, Abst. Appl. Anal. 2012, 790689, 2012.
  2. [2] R. Chand and P. Singh, On certain schlicht mapping, Indian J. Pure App. Math. 10, 1167–1174, 1979.
  3. [3] W. Janowski, Some extremal problem for certain families of analytic functions, Ann. Polon. Math. 28 (3), 298–326, 1973.
  4. [4] S. Kanas and A. Wiśniowska, Conic regions and k-uniform convexity, J. Comput. Appl. Math. 105, 327–336, 1999.
  5. [5] S. Kanas and A. Wiśniowska, Conic domains and starlike functions, Rev. Roumaine Math. Pure. Appl. 45 (4), 647–657, 2000.
  6. [6] O. Kwon and Y. Sim, A certain subclass of Janowski type functions associated with k-symmetric points, Commun. Korean Math. Soc. 28, 143–154, 2013.
  7. [7] S.S. Miller and P.T. Mocanu, Differential Subordinations, Theory and Applications, in: Series of Monographs and Textbooks in Pure and Applied Mathematics 225, Marcel Dekker Inc., New York, 2000.
  8. [8] K.I. Noor and S.N. Malik, On coefficient inequalities of functions associated with conic domains, Comput. Math. Appl. 62, 2209–2217, 2011.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 2, 2020

Submission Date

April 15, 2015

Acceptance Date

March 18, 2019

Published in Issue

Year 2020 Volume: 49 Number: 2

APA
Noor, K. I., Khan, N., Arif, M., & Sokol, J. (2020). On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points. Hacettepe Journal of Mathematics and Statistics, 49(2), 716-726. https://doi.org/10.15672/hujms.588741
AMA
1.Noor KI, Khan N, Arif M, Sokol J. On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points. Hacettepe Journal of Mathematics and Statistics. 2020;49(2):716-726. doi:10.15672/hujms.588741
Chicago
Noor, Khalida Inayat, Nasir Khan, Muhammad Arif, and Janusz Sokol. 2020. “On Some Subclasses $k$-Uniformly Janowski Starlike and Convex Functions Associated With $t$-Symmetric Points”. Hacettepe Journal of Mathematics and Statistics 49 (2): 716-26. https://doi.org/10.15672/hujms.588741.
EndNote
Noor KI, Khan N, Arif M, Sokol J (April 1, 2020) On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points. Hacettepe Journal of Mathematics and Statistics 49 2 716–726.
IEEE
[1]K. I. Noor, N. Khan, M. Arif, and J. Sokol, “On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, pp. 716–726, Apr. 2020, doi: 10.15672/hujms.588741.
ISNAD
Noor, Khalida Inayat - Khan, Nasir - Arif, Muhammad - Sokol, Janusz. “On Some Subclasses $k$-Uniformly Janowski Starlike and Convex Functions Associated With $t$-Symmetric Points”. Hacettepe Journal of Mathematics and Statistics 49/2 (April 1, 2020): 716-726. https://doi.org/10.15672/hujms.588741.
JAMA
1.Noor KI, Khan N, Arif M, Sokol J. On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points. Hacettepe Journal of Mathematics and Statistics. 2020;49:716–726.
MLA
Noor, Khalida Inayat, et al. “On Some Subclasses $k$-Uniformly Janowski Starlike and Convex Functions Associated With $t$-Symmetric Points”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, Apr. 2020, pp. 716-2, doi:10.15672/hujms.588741.
Vancouver
1.Khalida Inayat Noor, Nasir Khan, Muhammad Arif, Janusz Sokol. On some subclasses $k$-uniformly Janowski starlike and convex functions associated with $t$-symmetric points. Hacettepe Journal of Mathematics and Statistics. 2020 Apr. 1;49(2):716-2. doi:10.15672/hujms.588741

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