A Class of Quantum Briot–Bouquet Differential Equations with Complex Coefficients

Rabha W. Ibrahim, Rafida M. Elobaid, Suzan Jabbar Obaiys

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    Abstract

    Quantum inequalities (QI) are local restraints on the magnitude and range of formulas. Quantum inequalities have been established to have a different range of applications. In this paper, we aim to introduce a study of QI in a complex domain. The idea basically, comes from employing the notion of subordination. We shall formulate a new q-differential operator (generalized of Dunkl operator of the first type) and employ it to define the classes of QI. Moreover, we employ the q-Dunkl operator to extend the class of Briot-Bouquet differential equations. We investigate the upper solution and exam the oscillation solution under some analytic functions.

    Original languageEnglish
    Article number794
    JournalMathematics
    Volume8
    Issue number5
    DOIs
    Publication statusPublished - 14 May 2020

    Keywords

    • Analytic function
    • Differential operator
    • Fractional calculus
    • Fractional differential equation
    • Q-calculus
    • Q-differential equation
    • Subordination
    • Unit disk
    • Univalent function

    ASJC Scopus subject areas

    • Mathematics(all)

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