On neighborhoods and partial sums of certain meromorphic multivalent functions
✍ Scribed by Zhi-Gang Wang; Zhi-Hong Liu; Adriana Caˇtaş
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 226 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the generalized hypergeometric function, we introduce two novel subclasses Ω p,q,s (α 1 ; A, B, λ) and Ω + p,q,s (α 1 ; A, B, λ) of meromorphically multivalent functions of order λ (0
Using the methods of differential subordination and superordination, sufficient conditions on the integral operator of meromorphic functions in the punctured unit disk for obtaining, respectively, the best dominant and the best subordinant are determined. New Sandwichtype results are also obtained.
## Abstract Some conditions on the size of the exceptional set that arise in Nevanlinna's Second Fundamental Theorem are established, showing that previous sharp results can be improved by restricting the class of functions considered and suggesting a close relationship between the size of the exce