Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 6

Some properties of q− close-to-convex functions ∗ , Oya Mert† and Yaşar Polatoğlu‡

Pages
1105–1112
Publication Date
2022-10-18
DOI
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Quantum calculus had been used first time by M.E.H.Ismail, E.Merkesand D.Steyr in the theory of univalent functions [5].In this present paper we examine the subclass of univalent functionswhich is defined by quantum calculus.

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Objective & Hypothesis:Quantum calculus had been used first time by M.E.H.Ismail, E.Merkesand D.Steyr in the theory of univalent functions [5].In this present paper we examine the subclass of univalent functionswhich is defined by quantum calculus.
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Key Findings & Data:Quantum calculus had been used first time by M.E.H.Ismail, E.Merkesand D.Steyr in the theory of univalent functions [5].In this present paper we examine the subclass of univalent functionswhich is defined by quantum calculus.
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Conclusion & Impact:Quantum calculus had been used first time by M.E.H.Ismail, E.Merkesand D.Steyr in the theory of univalent functions [5].In this present paper we examine the subclass of univalent functionswhich is defined by quantum calculus.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Quantum calculus had been used first time by M.E.H.Ismail, E.Merkesand D.Steyr in the theory of univalent functions [5].In this present paper we examine the subclass of univalent functionswhich is defined by quantum calculus.

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Cite This Article

POLATOĞLU, Y., UÇAR, H. Ö., MERT, O. (2022). Some properties of q− close-to-convex functions ∗ , Oya Mert† and Yaşar Polatoğlu‡. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 6, 1105–1112. https://ajindex.com/articles/529968

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References (5)

  1. G.E.Andrews, Application of basic Hypergeometric Functions, SIAM Rew,(16) 1974, 441- 484. N.J.Fine, Basic Hypergeometric Series and Applications, Mathematical Surveys No 27 American Math.Soc.Providence, 1988.
  2. G. Gasper and M.Rahman, Basic Hypergeometric Series, Cambridge University Press, 2004.
  3. A.W. Goodman, Univalent Functions Volume I and Volume II, Mariner Pub. Comp. Inc., Tampa,Florida, 1984. M.E.H. Ismail,E.Merkes and D.Steyr, A generalization of Starlike functions, Complex Variables (14)(1990), 77–84.
  4. I.S.Jack, Functions starlike and convex of order alpha, J. Lond. Math. Soc., 2(3) 1971, 469-474. V. Koc and P.Cheung,Quantum Calculus,Springer,2001.
  5. A. Yemişçi Arzu and Y. Polatoğlu, Growth and Distortion theorems for q-Convex Functions, Mathematica Slovaca.(2016 Submitted)