Abstract

The purpose of the present paper is to introduce and investigate two new subclasses of bi-univalent functions of complex order defined in the open unit disk, which are associated with Hurwitz-Lerch zeta function and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients <TEX>${\mid}a_2{\mid}$</TEX> and <TEX>${\mid}a_3{\mid}$</TEX> for functions in the new subclasses. Several (known or new) consequences of the results are also pointed out.

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