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| Articolul urmator |
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 498 15 |
| Ultima descărcare din IBN: 2024-02-08 12:49 |
| Căutarea după subiecte similare conform CZU |
| 51 (5598) |
| Mathematics (1657) |
 SM ISO690:2012OSHAH, Anessa, DARUS, Maslina. Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022, nr. 1(98), pp. 22-34. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2022.i1.p22 |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 1(98) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| DOI:https://doi.org/10.56415/basm.y2022.i1.p22 | ||||||
| CZU: 51 | ||||||
| MSC 2010: 30C45, 30C50. | ||||||
| Pag. 22-34 | ||||||
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In the present paper, we study the operator defined by using Ruscheweyh derivative Rm and new generalized multiplier transformation Dm λ1,λ2,ℓ,df(z) = z + 1X k=n+1 ℓ(1 + (λ1 + λ2)(k − 1)) + d ℓ(1 + λ2(k − 1)) + d m akzk denoted by RDm,α λ1,λ2,ℓ,d : An → An, RDm,α λ1,λ2,ℓ,df(z) = (1−α)Rmf(z)+αDm λ1,λ2,ℓ,df(z), where An = f ∈ H(U), f(z) = z + an+1zn+1 + an+2zn+2 + ..., z ∈ U is the class of normalized analytic functions with A1 = A. We obtain several differential subordinations associated with the operator RDm,α λ1,λ2,ℓ,df(z). Further, sandwich-type results for this operator are considered. |
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| Cuvinte-cheie Ruscheweyh operator, multiplier transformation, Differential subordination, Differential superordination |
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