Subordination factor sequence results for starlike and convex classes defined by q-Cătaş operator

Aouf, M. K.; Madian, S. M.

doi:10.1007/s13370-021-00896-4

Cited by 9 publications

(2 citation statements)

References 17 publications

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“…(1) Taking m = 0 in our outcomes, we obtain the outcomes obtained by Aouf and Madian [14], with ̺ = 0 ]; (2) Taking q → 1 − and = 1 in our outcomes, we obtain the outcomes obtained by Aouf et al [16]; (3) Taking q → 1 − and n = 0 in our outcomes, we obtain the outcomes obtained by El-El-Ashwah et al [28], with b k = 1 and m = 0 ]; (4) Taking q → 1 − in Theorems 1,2,3 and 4, respectively, we obtain new outcomes for the classes…”

Section: Remarksmentioning

confidence: 63%

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Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order

Madian

2022

J Egypt Math Soc

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In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ D q , p we defined new operator $$D_{\lambda ,q,p}^{n}f^{(m)}(z)$$ D λ , q , p n f ( m ) ( z ) . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,\delta ,m}^{p,q}(f)$$ N j , δ , m p , q ( f ) -neighborhood of these classes

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Section: Remarksmentioning

confidence: 63%

“…In recent years, the topic of q-calculus had attracted the attention of several researchers (see, for example, [2,15,16,23,34,[43][44][45]). Quantum calculus is the modern name for the investigation of calculus without limits.…”

Section: Introductionmentioning

confidence: 99%

Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order

Madian

2022

J Egypt Math Soc

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Differential subordination and superordination results for p-valent analytic functions associated with (r,k)-Srivastava fractional integral calculus

Tayyah,

Atshan

2024

MethodsX

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Subordination results for some subclasses of analytic functions using generalized q-Dziok-Srivastava-Catas operator

El-Ashwah

2023

Filomat

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We introduce two classes of analytic functions related to conic domains, using a new generalized q-Dziok-Srivastava-Catas operator Dm,s,r q,?,l(m ? N0 = {0, 1, ..} , r ? s + 1; r, s ? N0, 0 < q < 1, ? ? 0, ? ? 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.

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Subordination factor sequence results for starlike and convex classes defined by q-Cătaş operator

Cited by 9 publications

References 17 publications

Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order

Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order

Differential subordination and superordination results for p-valent analytic functions associated with (r,k)-Srivastava fractional integral calculus

Subordination results for some subclasses of analytic functions using generalized q-Dziok-Srivastava-Catas operator

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