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 690 3 |
| Ultima descărcare din IBN: 2020-12-07 10:24 |
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| 515.172.2+517.544+517.958 (1) |
| Topology (42) |
| Analysis (300) |
| Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242) |
 SM ISO690:2012BULENT, Nafi Ornek. Some estimates for angular derivative at the boundary. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 3(85), pp. 120-134. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 3(85) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 515.172.2+517.544+517.958 | ||||||
| MSC 2010: 30C80, 32A10. | ||||||
| Pag. 120-134 | ||||||
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| Rezumat | ||||||
In this paper, we establish lower estimates for the modulus of the values of f(z) on boundary of unit disc. For the function f(z) = 1 +c1z + c2z2 + ... defined in the unit disc such that f(z) ∈ N (β) assuming the existence of angular limit at the boundary point b, the estimations below of the modulus of angular derivative have been obtained at the boundary point b with f(b) = β. Moreover, Schwarz lemma for class N (β) is given. The sharpness of these inequalities has been proved. |
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| Cuvinte-cheie Schwarz lemma on the boundary, holomorphic function, Jack’s lemma, Julia-Wolff lemma. |
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