Maclaurin coefficient estimates for new subclasses of bi-univalent functions connected with a \(q\)-analogue of Bessel function. (English) Zbl 1474.30074
Summary: In this paper, we introduce new subclasses of the function class \(\Sigma\) of bi-univalent functions connected with a \(q\)-analogue of Bessel function and defined in the open unit disc. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients \(\left| a_2\right|\) and \(\left| a_3\right|\) for functions in these new subclasses.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |
| 33C10 | Bessel and Airy functions, cylinder functions, \({}_0F_1\) |
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