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SM ISO690:2012 ALAMOUSH, AdnanGhazy, DARUS, Maslina. Certain classes of pvalent analytic functions with negative coefficients and (λ, p)starlike with respect to certain points. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 3(79), pp. 3549. ISSN 10247696. 
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica  
Numărul 3(79) / 2015 / ISSN 10247696 /ISSNe 25874322  


CZU: 517.5+517.98  
Pag. 3549 



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In this article, we consider classes S∗ s, λ (p, α, β ), S∗ c, λ p, α, β), and S∗ sc, λ ( p, α, β ) of pvalent analytic functions with negative coefficients in the unit disk. They are, respectively, λ, p)starlike with respect to symmetric points, (λ, p)starlike with respect to conjugate points, and (λ, p)starlike with respect to symmetric conjugate points. Necessary and sufficient coefficient conditions for functions f belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied 

Cuvintecheie pvalent functions, univalent functions, Salagean operator, starlike with respect to symmetric points. 


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<?xml version='1.0' encoding='utf8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchemainstance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Alamoush, A.</dc:creator> <dc:creator>Darus, M.</dc:creator> <dc:date>20151231</dc:date> <dc:description xml:lang='en'>In this article, we consider classes S∗ s, λ (p, α, β ), S∗ c, λ p, α, β), and S∗ sc, λ ( p, α, β ) of pvalent analytic functions with negative coefficients in the unit disk. They are, respectively, λ, p)starlike with respect to symmetric points, (λ, p)starlike with respect to conjugate points, and (λ, p)starlike with respect to symmetric conjugate points. Necessary and sufficient coefficient conditions for functions f belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 79 (3) 3549</dc:source> <dc:subject>pvalent functions</dc:subject> <dc:subject>univalent functions</dc:subject> <dc:subject>Salagean operator</dc:subject> <dc:subject>starlike with respect to symmetric points.</dc:subject> <dc:title>Certain classes of pvalent analytic functions with negative coefficients and (λ, p)starlike with respect to certain points</dc:title> <dc:type>info:eurepo/semantics/article</dc:type> </oai_dc:dc>