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

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.

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New results about fuzzy $ \mathbf{\gamma } $-convex functions connected with the $ \mathfrak{q} $-analogue multiplier-Noor integral operator

Ali,

Vivas-Cortez,

El-Ashwah

2024

MATH

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<abstract><p>The features of analytical functions were mostly studied using a fuzzy subset and a $ \mathfrak{q} $-difference operator in this study, as we investigate many fuzzy differential subordinations related to the $ \mathfrak{q} $-analogue multiplier-Noor integral operator. By applying fuzzy subordination to univalent functions whose range is symmetric with respect to the real axis, we create a few new subclasses of analytical functions. We define numerous classes related to the family of linear $ \mathfrak{q} $ -operators and introduce them. Here, we focus on the inclusion results and other integral features.</p></abstract>

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

Cited by 3 publications

References 31 publications

Application of the Quasi-Hadamard Product to Subclasses of Analytic Functions Involving the q-Difference Operator

Application of the Quasi-Hadamard Product to Subclasses of Analytic Functions Involving the q-Difference Operator

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

New results about fuzzy $ \mathbf{\gamma } $-convex functions connected with the $ \mathfrak{q} $-analogue multiplier-Noor integral operator

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