Year 2017,
Volume: 46 Issue: 6, 1105 - 1112, 01.12.2017
H.esra Özkan Uçar
,
Oya Mert
,
Yasar Polatoglu
References
- 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.
- G. Gasper and M.Rahman, Basic Hypergeometric Series, Cambridge University Press, 2004.
- 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.
- 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.
- A. Yemisçi Arzu and Y. Polatoglu, Growth and Distortion theorems for q-Convex Functions,
Mathematica Slovaca.(2016 Submitted)
Some properties of $q-$close-to-convex functions
Year 2017,
Volume: 46 Issue: 6, 1105 - 1112, 01.12.2017
H.esra Özkan Uçar
,
Oya Mert
,
Yasar Polatoglu
Abstract
Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.
References
- 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.
- G. Gasper and M.Rahman, Basic Hypergeometric Series, Cambridge University Press, 2004.
- 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.
- 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.
- A. Yemisçi Arzu and Y. Polatoglu, Growth and Distortion theorems for q-Convex Functions,
Mathematica Slovaca.(2016 Submitted)