Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
Închide
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 ISO690:2012
OSHAH, 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

DataCite
Dublin 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