Result: Stability of Geometric Properties of Convolutions of Univalent Harmonic Functions: Stability of geometric properties of convolutions of univalent harmonic functions
Title:
Stability of Geometric Properties of Convolutions of Univalent Harmonic Functions: Stability of geometric properties of convolutions of univalent harmonic functions
Authors:
Contributors:
Bielecki, Adam (1910-2003). Red., Krzyż, Jan (1923-2009). Red.
Publisher Information:
Uniwersytet Marii Curie-Skłodowskiej, Lublin, 1996.
Publication Year:
1996
Subject Terms:
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), harmonic univalent function, convolution, General theory of univalent and multivalent functions of one complex variable, stability, geometric properties, univalent harmonic functions
Document Type:
Academic journal
Article
File Description:
application/xml; application/pdf
Access URL:
Accession Number:
edsair.dedup.wf.002..0051b71805b69e2093b15cbc94f68a25
Database:
OpenAIRE
Further Information
For given subclasses \(M\), \(N\), \(P\) of a class of complex-valued harmonic functions, the author defines the notion of stability of the convolution \(M*N\) with respect to \(P\). Then, some stability theorems are proved for the Hadamard convolution and the integral convolution as defined in \textit{Y. Avci} and \textit{E. Złotkiewicz} [Ann. Univ. Mariae Curie-Skłodowska, Sect. A 44, 1-7 (1990; Zbl 0780.30013)].