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 7 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(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%

See 1 more Smart Citation

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

View full text Add to dashboard Cite

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

show abstract

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

View full text Add to dashboard Cite

show abstract

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

El-Ashwah

2023

Filomat

View full text Add to dashboard Cite

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.

show abstract

Geometric Properties Connected with a Certain Multiplier Integral q−Analogue Operator

Ali,

Oros,

El-Ashwah

et al. 2024

Symmetry

View full text Add to dashboard Cite

The topic concerning the introduction and investigation of new classes of analytic functions using subordination techniques for obtaining certain geometric properties alongside coefficient estimates and inclusion relations is enriched by the results of the present investigation. The prolific tools of quantum calculus applied in geometric function theory are employed for the investigation of a new class of analytic functions introduced by applying a previously defined generalized q−integral operator and the concept of subordination. Investigations are conducted on the new class, including coefficient estimates, integral representation for the functions of the class, linear combinations, forms of the weighted and arithmetic means involving functions from the class, and the estimation of the integral means results.

show abstract

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

Cited by 7 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

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

Geometric Properties Connected with a Certain Multiplier Integral q−Analogue Operator

Contact Info

Product

Resources

About