Geometric Properties of Cesàro Averaging Operators
Keyword(s):
Using positivity of trigonometric cosine and sine sums whose coefficients are generalization of Vietoris numbers, we find the conditions on coefficient {ak} to characterize the geometric properties of the corresponding analytic function f(z)=z+∑k=2∞akzk in the unit disc D. As an application, we also find geometric properties of generalized Cesàro-type polynomials.
Keyword(s):
2001 ◽
Vol 26
(4)
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pp. 239-248
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Keyword(s):
Keyword(s):
2008 ◽
Vol 39
(4)
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pp. 325-334
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Keyword(s):
2001 ◽
Vol 33
(4)
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pp. 483-491
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