A generalized operator involving the -hypergeometric function
Aabed Mohammed, Maslina Darus (2013)
Matematički Vesnik
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Aabed Mohammed, Maslina Darus (2013)
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Shammugam, T.N., Ramachandran, C., Darus, M., Sivasubramanian, S. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Orhan, Halit, Kamali, Muhammet (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Oladipo, A.T. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Murugesan Kasthuri (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with ƒ(ξ) = ƒ0(ξ) − 1 = 0, ξ (|ξ| = d) is a fixed point in the open disc U = {z ∈ ℂ: |z| < 1}. In this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties and neighbourhood results for the function class T Sξ(α, β,γ). Further, we obtain integral...
Darus, M., Ibrahim, R. (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45 The main object of this article is to introduce sufficient conditions of univalency for a class of analytic functions with finitely many coefficients defined by approximate functions due to Suffridge on the unit disk of the complex plane whose image is saddle-shaped. Sandwich theorem is also discussed.
Selvaraj, C., Santhosh Moni, C. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Aouf, M.K., Hidan, M.M. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Murugusundaramoorthy, G., Rosy, T., Muthunagai, K. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Ghanim, Firas, Darus, Maslina (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Alb Lupaş, Alina, Cătaş, Adriana (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Ibrahim, Rabha W., Darus, Maslina (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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A. O. Mostafa (2010)
Matematički Vesnik
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Pashkouleva, Donka (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45, 30C50 The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients.