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517.5+517.98 (2) |
Analiză (300) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242) |
SM ISO690:2012 ALAMOUSH, Adnan-Ghazy, DARUS, Maslina. Certain classes of p-valent 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. 35-49. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | |||||||
Numărul 3(79) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322 | |||||||
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CZU: 517.5+517.98 | |||||||
Pag. 35-49 | |||||||
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Rezumat | |||||||
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 p-valent 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 |
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Cuvinte-cheie p-valent functions, univalent functions, Salagean operator, starlike with respect to symmetric points. |
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