On -convex functions of order .
Fukui, Seichi (1997)
International Journal of Mathematics and Mathematical Sciences
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Fukui, Seichi (1997)
International Journal of Mathematics and Mathematical Sciences
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Durai, M.Anbu, Parvatham, R. (2002)
International Journal of Mathematics and Mathematical Sciences
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Swadesh Kumar Sahoo, Navneet Lal Sharma (2015)
Annales Polonici Mathematici
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The paper of M. Ismail et al. [Complex Variables Theory Appl. 14 (1990), 77-84] motivates the study of a generalization of close-to-convex functions by means of a q-analog of the difference operator acting on analytic functions in the unit disk 𝔻 = {z ∈ ℂ:|z| < 1}. We use the term q-close-to-convex functions for the q-analog of close-to-convex functions. We obtain conditions on the coefficients of power series of functions analytic in the unit disk which ensure that they generate...
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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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Open Mathematics
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Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Silvia, E.M. (1983)
International Journal of Mathematics and Mathematical Sciences
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Annales Polonici Mathematici
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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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