Results 21 to 27 of about 27 (27)

On polynomial expansion of multivalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 443-446, 1991., 1991
Coefficient bounds for mean p‐valent functions, whose expansion in an ellipse has a Jacobi polynomial series, are given in this paper.
M. M. Elhosh
wiley   +1 more source

Sufficient conditions for spiral‐likeness

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 641-644, 1989., 1989
Coefflcient conditions sufficient for splral‐likenss are found by convolution methods. The order of starlikeness for such functions is also determined.
H. Silverman
wiley   +1 more source

Some classes of alpha‐quasi‐convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 497-501, 1988., 1986
Let C[C, D], −1 ≤ D < C ≤ 1 denote the class of functions g, g(0) = 0, g′(0) = 1, analytic in the unit disk E such that is subordinate to , z ∈ E. We investigate some classes of Alpha‐Quasi‐Convex Functions f, with f(0) = f′(0) − 1 = 0 for which there exists a g ∈ C[C, D] such that is subordinate to , −1 ≤ B < A ≤ 1.
Khalida Inayat Noor
wiley   +1 more source

Subclasses of close‐to‐convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 449-458, 1983., 1983
Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D] such that f′/g′ is ...
E. M. Silvia
wiley   +1 more source

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