A subclass of Noor-type harmonic \(p\)-valent functions based on hypergeometric functions. (English) Zbl 1499.30046
Summary: In this paper, we introduce a new generalized Noor-type operator of harmonic \(p\)-valent functions associated with the Fox-Wright generalized hypergeometric functions (FWGH-functions). Furthermore, we consider a new subclass of complex-valued harmonic multivalent functions based on this new operator. Several geometric properties for this subclass are also discussed.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 11M35 | Hurwitz and Lerch zeta functions |
| 30C10 | Polynomials and rational functions of one complex variable |
Keywords:
harmonic multivalent function; convolution product; Noor integral operator; Fox-Wright generalized hypergeometric functionReferences:
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