Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Certain classes ofk-uniformly functions withbounded radius rotation associated with linear operator

Pages
56–67
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Inclusion results, radius problems, rate of growth and other interestingproperties are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we use linear operator to define certain classes of analytic functions relatedto conic domains.
📊
Key Findings & Data:In this paper we use linear operator to define certain classes of analytic functions relatedto conic domains.
💡
Conclusion & Impact:Inclusion results, radius problems, rate of growth and other interestingproperties are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we use linear operator to define certain classes of analytic functions relatedto conic domains. Inclusion results, radius problems, rate of growth and other interestingproperties are investigated.

🔖

Cite This Article

MAHMOOD, S., MUSTAFA, S. (2022). Certain classes ofk-uniformly functions withbounded radius rotation associated with linear operator. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 56–67. https://ajindex.com/articles/529588

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (1)

  1. M. Arif, S. Mahmood, J. Sokołand J. Dziok,New subclass of analytic functions inconical domain associated with a linear operator,Acta Math Sci,36B(3), 1–13, 2016. [2]M. Arif, S. Umar, S. Mahmood and J. Sokoł,New reciprocal class of analytic functionsassociated with linear operator,Iran. J. Sci. Technol. Trans. Sci.,42, 881–886, 2018. [3]D.A. Brannan,On functions of bounded boundary rotations,Proc. Edinb. Math. Soc.2, 339–347, 1968–1969. [4]G. Golusin,On distortion theorems and coefficients of univalent functions,Rec. Math.[Mat. Sbornik] N.S.,19(61), 183–202, 1946. [5]A.W. Goodman,Univalent functions, Vol. I, II,Polygonal Publishing House, Wash-ington, New Jersey, 1983. [6]A.W. Goodman,On uniformly convex functions,Ann. Polon. Math.56, 87–92, 1991. [7]S. Kanas,Techniques of the differential subordination for domains bounded by conicsections,Int. J. Math. Math. Sci.38, 2389–2400, 2003. [8]S. Kanas and A. Lecko,Differential subordination for domains bounded by hyperbolas,Zeszyty Nauk. Politech. Rzeszowskiej Mat.175(23), 61–70, 1999. [9]S. Kanas and A. WisniowskaConic regions and k-uniform convexity,J. Comput.Appl. Math.105, 327–336, 1999. [10]S. Kanas and A. Wiśniowska,Conic regions and k-starlike functions,Rev. Roumaine,Math. Pures Appl.45, 647–657, 2000. [11]S. Mahmood and J. Sokoł,New subclass of analytic functions in conical domain as-sociated with ruscheweyh Q-differential operator,Results Math.71, 1345–1357, 2017. [12]S. Mahmood, S.N. Malik, S. Mustafa and S.M.J. Riaz,A new subclass of k-Janowskitype functions associated with Ruscheweyh derivative,J. Func. Spaces,2017, ArticleID 6095293, 7 pages, 2017. [13]S.S. Miller and P.T. Mocanu,Differential subordinations theory and applications,Marcel Dekker, Inc. New York Basel, 2000. [14]K.I. Noor,Higher order close-to-convex functions,Math. Japon.37, 1–8, 1992. [15]K.I. Noor,On a generalization of uniformly convex and related functions,Comp.Math. Appl.61, 117–125, 2011. [16]K.I. Noor and S.N. Malik,On a new class of analytic functions associated with conicdomain,Comput. Math. Appl.62, 367–375, 2011. [17]K.I. Noor and S.N. Malik,On coefficient inequalities of functions associated with conicdomains,Comput. Math. Appl.62, 2209–2217, 2011. [18]B. Pinchuk,Functions with bounded boundary rotation,Isr. J. Math.10, 7–16, 1971. [19]R.K. Raina and P. Sharma,Subordination properties of univalent functions involvinga new class of operators,Electron. J. Math. Anal. Appl.2(1), 37–52, 2014. [20]F. Rønning,Uniformly convex