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Boundary values of Hankel and Toeplitz determinants for q-convex functions [PDF]
MethodsXThe study of holomorphic functions has been recently extended through the application of diverse techniques, among which quantum calculus stands out due to its wide-ranging applications across various scientific disciplines. In this context, we introduce
Sarem H. Hadi +5 more
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Differential Calculus on Quantum Spheres [PDF]
, 1998 27 pages, no figures, Latex2e. The classification of first order differential calculi which was collapsed by an error in the first version of this paper has been corrected and, at the same time, extended to a more general ...
Martin Welk
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Differential calculus on compact matrix pseudogroups (quantum groups) [PDF]
Communications in Mathematical Physics, 1989 This is a sequel to an earlier paper by the author [ibid. 111, No. 4, 613-665 (1987; Zbl 0627.58034)]. There, he introduced and developed the finite-dimensional representation theory of a particular generalization of the concept of a compact Lie group, which has the desirable property of admitting nontrivial deformations.
S. Woronowicz
semanticscholar +3 more sources
Differential Calculus on Quantum Spaces and Quantum Groups [PDF]
, 1992 23 ...
Bruno Zumino
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Cartan Calculus: Differential Geometry for Quantum Groups [PDF]
Proceedings of the International School of Physics “Enrico Fermi”, 1994 17 pages.
Peter Schupp
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Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions
MathematicsIn this article, we first consider the fractional q-differential operator and the λ,q-fractional differintegral operator Dqλ:A→A. Using the λ,q-fractional differintegral operator, we define two new subclasses of analytic functions: the subclass S*q,β,λ ...
Zeya Jia +5 more
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The Differential Calculus on Quantum Linear Groups [PDF]
, 2016 14 pages. To be published in F.A.Berezin memorial volume.
Faddeev, L. D., Pyatov, P. N.
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Jackson Differential Operator Associated with Generalized Mittag–Leffler Function
Fractal and Fractional, 2023 Quantum calculus plays a significant role in many different branches such as quantum physics, hypergeometric series theory, and other physical phenomena.
Adel A. Attiya +2 more
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General Non-Markovian Quantum Dynamics
Entropy, 2021 A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Vasily E. Tarasov
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