Geodesic
Subordination results for some subclasses of analytic functions using generalized q-Dziok-Srivastava-Catas operator
Filomat, Tome 37 (2023) no. 6, p. 1855

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DOI

We introduce two classes of analytic functions related to conic domains, using a new generalized q-Dziok-Srivastava-Catas operator D m,s,r q,τ,ℓ (m ∈ N 0 = {0, 1, ..} , r ≤ s + 1; r, s ∈ N 0 , 0 q 1, τ ≥ 0, ℓ ≥ 0). Basic properties of these classes are studied, such as coefficients estimate. For these new function classes, we establish subordination theorems and also, point out some new and known consequences of our main results.
DOI : 10.2298/FIL2306855E
Classification : 30C45, 30C50
Keywords: Uniformly convex function, Subordination, Conic domain, q-Dziok-Srivastava-Catas operator 
R M El-Ashwah. Subordination results for some subclasses of analytic functions using generalized q-Dziok-Srivastava-Catas operator. Filomat, Tome 37 (2023) no. 6, p. 1855 . doi: 10.2298/FIL2306855E
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     title = {Subordination results for some subclasses of analytic functions using generalized {q-Dziok-Srivastava-Catas} operator},
     journal = {Filomat},
     pages = {1855 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2306855E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306855E/}
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