Publication: Bounded Log-Harmonic Functions with Positive Real Part
dc.contributor.author | Özkan Uçar, Hatice Esra | |
dc.contributor.author | POLATOĞLU, YAŞAR | |
dc.contributor.authorID | 114002 | tr_TR |
dc.contributor.authorID | 199370 | tr_TR |
dc.date.accessioned | 2017-10-30T10:48:33Z | |
dc.date.available | 2017-10-30T10:48:33Z | |
dc.date.issued | 2013-03-01 | |
dc.description.abstract | Let H(D) be the linear space of all analytic functions defined on the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}, and let B be the set of all functions w(z) is an element of H(D) such that vertical bar w(z)vertical bar < 1 for all z is an element of D. A log-harmonic mapping is a solution of the non-linear elliptic partial differential equation (f) over bar ((z) over bar) = w(z) ((f) over bar /f) f(z), where w(z) is the second dilatation off and w(z) is an element of B. In the present paper we investigate the set of all log-harmonic mappings R defined on the unit disc D which are of the form R = H(z)<(G(z))over bar>, where H(z) and G(z) are in H(D), H(0) = G(0) = 1, and Re(R) > 0 for all z is an element of D. The class of such functions is denoted by P-LH. (C) 2012 Elsevier Inc. All rights reserved. | tr_TR |
dc.identifier.issn | 0022-247X | |
dc.identifier.scopus | 2-s2.0-84869084287 | |
dc.identifier.uri | http://hdl.handle.net/11413/1827 | |
dc.identifier.wos | 311818200036 | |
dc.language.iso | en | |
dc.publisher | Academic Press inc Elsevier Science, 525 B St, Ste 1900, San Diego, Ca 92101-4495 USA | |
dc.relation | Journal Of Mathematical Analysis And Applications | tr_TR |
dc.subject | close-to-star function | tr_TR |
dc.subject | the radius of starlikeness | tr_TR |
dc.subject | distortion estimate | tr_TR |
dc.subject | yıldız işlevine yakın | tr_TR |
dc.subject | yıldızlılık yarıçapı | tr_TR |
dc.subject | bozulma tahmini | tr_TR |
dc.title | Bounded Log-Harmonic Functions with Positive Real Part | tr_TR |
dc.type | Article | |
dspace.entity.type | Publication | |
local.indexed.at | WOS | |
local.indexed.at | Scopus | |
relation.isAuthorOfPublication | 82125b62-3d7a-489a-8c3f-a104e98d346e | |
relation.isAuthorOfPublication.latestForDiscovery | 82125b62-3d7a-489a-8c3f-a104e98d346e |
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