Results 251 to 260 of about 54,241 (298)

Solutions of sum‐type singular fractional q integro‐differential equation with m‐point boundary value problem using quantum calculus

Mathematical methods in the applied sciences, 2020
Nowadays, many researchers have considerable attention to fractional calculus as a useful tool for modeling of different phenomena in the world. In this work, we investigate the sum‐type singular nonlinear fractional q integro‐differential equations with
A. Ahmadian, S. Rezapour, S. Salahshour, M. Samei   +3 more
semanticscholar   +1 more source

Differential calculus on quantum Euclidean spheres

Czechoslovak Journal of Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Differential calculus on the quantum superplane

Journal of Physics A: Mathematical and General, 1991
Quantum groups provide a concrete example of non-commutative differential geometry. A consistent differential calculus on the non-commutative space of the quantum hyperplane was formulated by Wess and Zumino (1990). In the present paper, it is extended to superspace. Several consistency checks are discussed.
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Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
W. Khan, K. Mohamed, F. Costabile, C. Kızılateş, C. Ryoo   +4 more
semanticscholar   +1 more source

Differential calculus on quantum projective spaces

Czechoslovak Journal of Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Covariant Differential Calculus on Quantum Spaces

1997
Nowadays differential forms on manifolds have entered the formulation of a number of physical theories such as Maxwell’s theory, mechanics, the theory of relativity and others. There are various physical ideas and considerations (quantum gravity, discrete space-time structures, models of elementary particle physics) that strongly motivate the ...
Anatoli Klimyk, Konrad Schmüdgen
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Differential Calculus on Quantum Matrix Lie Groups

Communications in Theoretical Physics, 1992
Following the discussions on quantum groups by Reshetikhin, Takhadshyan and Faddeev, we thoroughly studied the differential calculus on quantum groups, and obtained the explicit expressione in the case of . We also compared our results with those of Woronowicz and Podles under the restriction of to .
Ke Wu, Ren-Jie Zhang
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Applications of Symmetric Quantum Calculus to Multivalent Functions in Geometric Function Theory

Contemporary Mathematics
This paper investigates multivalent analytic functions through the lens of symmetric quantum calculus. Using a generalized symmetric operator, we present novel classes of multivalent starlike functions in the framework of symmetric q-calculus linked with
Vasile-Aurel Caus
semanticscholar   +1 more source

Covariant Differential Calculus on Quantum Groups

1997
This chapter contains the main concepts and results of the general theory of covariant differential calculi on quantum groups. The underlying Hopf algebra structure allows us to develop a rich theory of such calculi which is suggested by ideas from classical Lie theory.
Anatoli Klimyk, Konrad Schmüdgen
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Differential calculus onN-dimensional quantum space

Il Nuovo Cimento B Series 11, 1994
The allowed quantum deformations ofN-dimensional space are obtained and their differential calculi are discussed.
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