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)