On a nonlinear differential subordination I
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OROS, Georgia-Irina. On a nonlinear differential subordination I. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 3(43), pp. 53-57. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(43) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322

On a nonlinear differential subordination I

Pag. 53-57

Oros Georgia-Irina
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

We find conditions on the complex-valued functions A,B,C,D in the unit disc U such that the differential inequality |A(z)z2p′′(z) B(z)p2(z) C(z)p(z) D(z)| < M implies |p(z)| < N, where p is analytic in U, with p(0) = 0.

Cuvinte-cheie
Differential subordination,

dominant.