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Coefficient Estimate of bi-Bazilevič Functions Associated with Fractional q-calculus Operators

Murugusundaramoorthy G., Janani T., Purohit S. D.

Fundamenta Informaticae

2017

Vol. 151, nr 1/4

49--62

In this paper, we introduce and investigate two new subclasses of the function class ∑ of bi-univalent functions defined in the open unit disk, which are associated with fractional q-calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.