Results 281 to 290 of about 49,385 (321)

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
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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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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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Differential operators and differential calculus in quantum groups

Izvestiya: Mathematics, 1998
The author deals with abstract differential operators in bialgebras and Hopf algebras (quantum groups). He proves density theorems and structure theorems for the algebras of differential operators defined by dual pairs of Hopf algebras \(A, B\) and indicates connections with Drinfel'd's quantum double and differential geometry in quantum groups.
openaire   +1 more source

A finite difference explicit-implicit scheme for fractal heat and mass transportation of Williamson nanofluid flow in quantum calculus

Numerical Heat Transfer, Part A Applications
This study introduces a novel and versatile fractal finite difference scheme designed to address unsteady flow challenges in quantum calculus over flat and oscillatory sheets.
M. Arif, K. Abodayeh, Yasir Nawaz
semanticscholar   +1 more source

Features of Projectile Motion in Quantum Calculus

Mapana Journal of Sciences
In this paper, the equation of motion of a projectile in a resistive medium is revisited in view of quantum calculus. Quantum calculus, abbreviated as -calculus, is a recently recognized unconventional type of calculus in which q-derivatives of a real ...
Pintu Bhattacharya
semanticscholar   +1 more source

CARTAN CALCULUS OF Z₃-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM PLANE

International Journal of Geometric Methods in Modern Physics, 2012
To give a Z3-graded Cartan calculus on the extended quantum plane, the noncommutative differential calculus on the extended quantum plane is extended by introducing inner derivations and Lie derivatives.
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Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2|1})$$ F ( C q

Advances in Applied Clifford Algebras, 2023
S. Çelik
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