Results 51 to 60 of about 49,385 (321)
Bicovariant differential calculus on the quantum superspace ℝq(1|2) [PDF]
, 2015 Super-Hopf algebra structure on the function algebra on the extended quantum superspace has been defined. It is given a bicovariant differential calculus on the superspace.
S. Çelik
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Solution to Laplace’s Equation Using Quantum Calculus
International Journal of Engineering Technology and Management Sciences, 2023 The quantum calculus emerged as a new type of unconventional calculus relevant to both mathematics and physics. The study of quantum calculus or q-calculus has three hundred years of history of development since the era of Euler and Bernoulli, and was ...
Pintu Bhattacharya, Ravi Ranjan
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Covariant differential calculus on the quantum hyperplane [PDF]
Nuclear Physics B - Proceedings Supplements, 1991 Abstract We develop a differntial calculus on the quantum hyperplane covariant with respect to the action of the quantum group GLq(n). This is a concrete example of noncommutative differential geometry. We describe the general constraints for a noncommutative differential calculus and verify that the example given here satisfies all these constraints.
Wess, Julius, Zumino, Bruno
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Quantum Riemannian geometry of phase space and nonassociativity
Demonstratio Mathematica, 2017 Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
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The problem of differential calculus on quantum groups [PDF]
Czechoslovak Journal of Physics, 1996 Contribution to the proceedings of the Colloquium on Quantum Groups and Integrable Systems Prague, June 1996. amslatex, 9 pages.
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A new concept of q-calculus with respect to another function
Journal of Innovative Applied Mathematics and Computational SciencesIn this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification ...
Shrinath Manjarekar, Hossein Jafari
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Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions
Symmetry, 2022 In the past few years, many scholars gave much attention to the use of q-calculus in geometric functions theory, and they defined new subclasses of analytic and harmonic functions.
Mohammad Faisal Khan +4 more
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On q-double modified Laplace transform [PDF]
Mathematics and Computational SciencesThe Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda +2 more
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STARLIKENESS OF q-DIFFERENTIAL OPERATOR INVOLVING QUANTUM CALCULUS
Korean Journal of Mathematics, 2014 Summary: In the present paper, we investigate starlikeness conditions for \(q -\) differential operator by using the concept of quantum calculus in the unit disk.
Aldawish, Ibtisam, Darus, Maslina
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Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
Open Mathematics, 2021 Abstract In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣
Budak, HÜSEYİN +3 more
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