Sufficient conditions for starlikeness associated with parabolic region.
Ravichandran, V., Gangadharan, A., Shanmugam, T.N. (2002)
International Journal of Mathematics and Mathematical Sciences
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Ravichandran, V., Gangadharan, A., Shanmugam, T.N. (2002)
International Journal of Mathematics and Mathematical Sciences
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Abdul Halim, S. (2003)
International Journal of Mathematics and Mathematical Sciences
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In this paper, we obtain new sufficient conditions for the operators Fα1,α2,…,αn,β(z) and Gα1,α2,…,αn,β(z) to be univalent in the open unit disc U, where the functions f1, f2, …, fn belong to the classes S*(a, b) and K(a, b). The order of convexity for the operators Fα1,α2,…,αn,β(z) and Gα1,α2,…,αn,β(z) is also determined. Furthermore, and for β = 1, we obtain sufficient conditions for the operators Fn(z) and Gn(z) to be in the class K(a, b). Several corollaries and consequences of the...
Breaz, Daniel, Aouf, M.K., Breaz, Nicoleta (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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