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| Ultima descărcare din IBN: 2017-02-27 08:42 |
 SM ISO690:2012ALBLUPA, Alina. Certain differential superordinations using a multiplier transformation and Ruscheweyh derivative. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, nr. 2-3(73), pp. 119-131. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2-3(73) / 2013 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 119-131 | ||||||
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| Rezumat | ||||||
In the present paper we define a new operator, by means of convolution
product between Ruscheweyh derivative and the multiplier transformation I (m, , l). For functions f belonging to the class A we define the differential operator IRm,l :A → A, IRm,lf (z) := (I (m, , l) ∗ Rm) f (z) , where An = {f ∈ H(U) : f(z) =z an 1zn 1 . . . , z ∈ U} is the class of normalized analytic functions, with A1 = A.We study some differential superordinations regarding the operator IRm,l. |
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| Cuvinte-cheie Differential superordination, convex function, best subordinant, differential operator |
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