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Mathematical Communications, Vol. 17 No. 2, 2012.

Izvorni znanstveni članak

Upper bound for functions of bounded turning

Rabha Waell Ibrahim ; Institute of Mathematical Sciences, University Malaya, Kuala Lumpur, Malaysia

Puni tekst: engleski pdf 110 Kb

str. 461-468

preuzimanja: 743

citiraj

Sažetak

For normalized analytic functions in the unit disk, we consider
subclasses of bounded turning. The geometric representation is
introduced, the radii of convexity (close to convex) are calculated
and some subordination relations are suggested. Moreover, the upper
bound of the pre-Schwarzian norm for these functions is computed.

Ključne riječi

analytic function; univalent functions; starlike functions; unit disk; subordination; superordination; bounded turning function; pre-Schwarzian derivative; radii of convexity; upper bound; Hadamard product (convolution product); convex function; close to convex; Jack's Lemma

Hrčak ID:

93277

URI

https://hrcak.srce.hr/93277

Datum izdavanja:

5.12.2012.

Posjeta: 1.351 *