Research Article

Certain Classes of Analytic Functions Associated with Conic Domains

Number: 24 August 14, 2018
  • Nasir Khan
EN

Certain Classes of Analytic Functions Associated with Conic Domains

Abstract

In this paper, we define new subclasses of k-uniformly Janowski starlike and k-uniformly Janowski convex functions associated with m-symmetric points. The integral representations, convolution properties and sufficient conditions for the functions belong to this class are investigated.

Keywords

References

  1. [1] R. Chand and P. Singh, On certain schlicht mapping, Ind. J. Pure App. Math. 10 (1979), 1167-1174.
  2. [2] W. Janowski, Some external problem for certain families of analytic functions I, Ann. Polon. Math., 28 (1973), 298-326.
  3. [3] S. Kanas and A. Wisniowska, Conic regions and k-uniform convexity, J. Comput. Appl. Math. 105(1999), 327-336.
  4. [4] S. Kanas and A. Wisniowska, Conic domains and starlike functions, Rev. Roumaine Math. Pure. Appl. 45 (2000), 647-657.
  5. [5] K. I. Noor and S. N. Malik, On coefficient inequalities of functions associated with conic domains, Comput. Math. Appl. 62 (2011), 2209-2217.
  6. [6] K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan. 11 (1959), 72- 75.
  7. [7] M. Arif, K. I. Noor and R. Khan, On subclasses of analytic functions with respect to symmetrical points, Abst. Appl. Anal. (2012), ID 790689, 11 pages.
  8. [8] K. I. Noor and S. Mustafa, Some classes of analytic functions related with functions of bounded radius rotation with respect to symmetrical points, J. Math. Ineq. 3 (2) (2009), 267-276.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Nasir Khan This is me

Publication Date

August 14, 2018

Submission Date

March 20, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 24

APA
Khan, N. (2018). Certain Classes of Analytic Functions Associated with Conic Domains. Journal of New Theory, 24, 20-34. https://izlik.org/JA58GX64PP
AMA
1.Khan N. Certain Classes of Analytic Functions Associated with Conic Domains. JNT. 2018;(24):20-34. https://izlik.org/JA58GX64PP
Chicago
Khan, Nasir. 2018. “Certain Classes of Analytic Functions Associated With Conic Domains”. Journal of New Theory, nos. 24: 20-34. https://izlik.org/JA58GX64PP.
EndNote
Khan N (August 1, 2018) Certain Classes of Analytic Functions Associated with Conic Domains. Journal of New Theory 24 20–34.
IEEE
[1]N. Khan, “Certain Classes of Analytic Functions Associated with Conic Domains”, JNT, no. 24, pp. 20–34, Aug. 2018, [Online]. Available: https://izlik.org/JA58GX64PP
ISNAD
Khan, Nasir. “Certain Classes of Analytic Functions Associated With Conic Domains”. Journal of New Theory. 24 (August 1, 2018): 20-34. https://izlik.org/JA58GX64PP.
JAMA
1.Khan N. Certain Classes of Analytic Functions Associated with Conic Domains. JNT. 2018;:20–34.
MLA
Khan, Nasir. “Certain Classes of Analytic Functions Associated With Conic Domains”. Journal of New Theory, no. 24, Aug. 2018, pp. 20-34, https://izlik.org/JA58GX64PP.
Vancouver
1.Nasir Khan. Certain Classes of Analytic Functions Associated with Conic Domains. JNT [Internet]. 2018 Aug. 1;(24):20-34. Available from: https://izlik.org/JA58GX64PP

 

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