Techniques of the differential subordination for domains bounded by conic sections

By Stanislawa Kanas. 2003

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We solve the problem of finding the largest domain D for which, under given ψ and q, the differential subordination ψ(p(z),zp′(z))∈D⇒p(z)≺q(z), where D and q(𝒰) are regions bounded by conic sections, is satisfied. The shape of the domain D is described by the shape of q(𝒰). Also, we find the best dominant of the differential subordination p(z)

Subfields: Applied Mathematics, Electronic, Optical and Magnetic Materials, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f8939e7d7ceb4374ab34328ed83be5774bb76cd6