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    Some New Applications of the Faber Polynomial Expansion Method for Generalized Bi-Subordinate Functions of Complex Order <i>γ</i> Defined by <i>q</i>-Calculus by Mohammad Faisal Khan, Mohammed AbaOud

    Published 2023-03-01
    “…This work examines a new subclass of generalized bi-subordinate functions of complex order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> connected to the <i>q</i>-difference operator. …”
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    Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions by Isra Al-shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami

    Published 2022-11-01
    “…This paper considers the basic concepts of <i>q</i>-calculus and the principle of subordination. We define a new subclass of <i>q</i>-starlike functions related to the Salagean <i>q</i>-differential operator. …”
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    Some New Applications of the <i>q</i>-Analogous of Differential and Integral Operators for New Subclasses of <i>q</i>-Starlike and <i>q</i>-Convex Functions by Suha B. Al-Shaikh, Ahmad A. Abubaker, Khaled Matarneh, Mohammad Faisal Khan

    Published 2023-05-01
    “…Additionally, certain subordination findings for the differential operator (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msubsup><mi>R</mi><mrow><mi>λ</mi><mo>,</mo><mi>q</mi></mrow><mrow><mi>m</mi><mo>,</mo><mi>n</mi></mrow></msubsup></mrow></semantics></math></inline-formula>) and novel geometric characteristics of the <i>q</i>-analogues of the integral operators in these classes are also obtained. …”
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