On the Gakhov Equation in the Janowski Classes with Additional Parameter
The Janowski class is characterized by a suitable disk in the right half-plane containing values of the functional ζf0 /f for all functions of this class. The set of such classes-disks forms a two-dimensional family ”filling” ∆ triangle. In our previous works, the maximum domain ∆0 ⊂ ∆ of the param...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2015-03-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/portal/docs/F_1074586754/157_1_phys_mat_4.pdf |
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| Summary: | The Janowski class is characterized by a suitable disk in the right half-plane containing values of the functional ζf0 /f for all functions of this class. The set of such classes-disks forms a two-dimensional family ”filling” ∆ triangle. In our previous works, the maximum domain
∆0 ⊂ ∆ of the parameters ensuring the uniqueness property of the (zero) root of the Gakhov equation for each function of the corresponding class was determined. In the present paper, such a domain is found for the families of the Janowski classes over ∆ × [0, 1]. |
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| ISSN: | 2541-7746 2500-2198 |