AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Issue no. 4 / 2021 | |||||||
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HARMONIC MAPPINGS AND ITS DIRECTIONAL CONVEXITY. Authors: POONAM SHARMA, OMENDRA MISHRA. |
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Abstract: DOI: 10.24193/subbmath. 2021.4.07 Published Online: 2021-12-14 Published Print: 2021-12-30 pp. 677-690 VIEW PDF FULL PDF For any $mu _{j} (mu _{j}in mathbb{C},leftvert mu _{j} ightvert =1,j=1,2)$, we consider the rotations $f_{mu _{1}}$ and $F_{mu _{2}}$ of right half-plane harmonic mappings $f,Fin S_{mathcal{H}}$ which are CHD with the prescribed dilatations $omega _{f}(z)=left( a-z ight) /left( 1-az ight) $ for some $a$ $left( -1 Keywords: Harmonic functions, half-plane mappings, convexity in one direction, harmonic convolution, directional convexity, Rouche''s theorem. Mathematics Subject Classification (2010): 31A05, 30C45, 30C55. |
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