New classes of analytic and bi-univalent functions

Author:

Cotîrlǎ Luminiţa-Ioana,

Abstract

<abstract><p>Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference20 articles.

1. Ş. Altinkaya, S. Yalçin, Faber polynomial coefficient bounds for a subclass of bi-univalent functions. C. R. Math. Acad. Sci. Paris, 353 (2015), 1075–1080.

2. R. Bucur, L. Andrei, D. Breaz, Coefficient bounds and Fekete-Szegö problem for a class of analytic functions defined by using a new differential operator. Appl. Math. Sci., 9 (2015), 1355–1368.

3. A. Catas, Some inclusion relations for a certain family of multivalent functions involving nonhomogeneous Cauchy-Euler differential equation, An. Univ. Oradea Fasc. Mat., Tom XVII (2010), 51–64.

4. R. B. Corcino, On $p, q$-binomial coefficients, Integers, 8 (2008), A29.

5. P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften; Springer-Verlag, New York, 1983.

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