Bi-Univalent Functions with Positive Real Part Derivatives
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3

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We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds.
Classification : 30C45, 30C50
Jay M. Jahangiri; Samaneh G. Hamidi; Suzeini Abd. Halim. Bi-Univalent Functions with Positive Real Part Derivatives. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a1/
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     author = {Jay M. Jahangiri and Samaneh G. Hamidi and Suzeini Abd. Halim},
     title = {Bi-Univalent {Functions} with {Positive} {Real} {Part} {Derivatives}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a1/}
}
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