﻿﻿ ﻿ ﻿﻿ Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
 Conţinutul numărului revistei Articolul precedent Articolul urmator 482 15 Ultima descărcare din IBN: 2024-02-08 12:49 Căutarea după subiecte similare conform CZU 51 (5526) Matematică (1637) 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 EXPORT metadate: Google Scholar Crossref CERIF DataCiteDublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(98) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322

 Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
DOI:https://doi.org/10.56415/basm.y2022.i1.p22
CZU: 51
MSC 2010: 30C45, 30C50.

Pag. 22-34

 Oshah Anessa1, Darus Maslina2 1 Sabratha University,2 Universiti Kebangsaan Malaysia Disponibil în IBN: 27 iulie 2022

Rezumat

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.

Cuvinte-cheie
Ruscheweyh operator, multiplier transformation, Differential subordination, Differential superordination