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

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

doi:10.3390/math8050794

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 language	English
Article number	794
Journal	Mathematics
Volume	8
Issue number	5
DOIs	https://doi.org/10.3390/math8050794
Publication status	Published - 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

General Mathematics

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AB - 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.

KW - Analytic function

KW - Differential operator

KW - Fractional calculus

KW - Fractional differential equation

KW - Q-calculus

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KW - Subordination

KW - Unit disk

KW - Univalent function

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

Abstract

Keywords

ASJC Scopus subject areas

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