Some families of multivalently analytic functions with negative coefficients. (English) Zbl 0883.30011
The authors introduce and study three novel subclasses of analytic and \(p\)-valent functions with negative coefficients. In addition to finding a necessary and sufficient condition for a function to belong to each of these subclasses, a number of other potentially useful properties and characteristics of functions in these subclasses are obtained. Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.
Reviewer: H.M.Srivastava
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 33C05 | Classical hypergeometric functions, \({}_2F_1\) |
| 26A33 | Fractional derivatives and integrals |
References:
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