Results 31 to 40 of about 96,588 (331)

Differential Calculus on Quantum Spaces and Quantum Groups [PDF]

, 1992
23 ...
Zumino, Bruno
openaire   +6 more sources

Boundary values of Hankel and Toeplitz determinants for q-convex functions [PDF]

MethodsX
The 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, Timilehin Gideon Shaba, Zainab S. Madhi, Maslina Darus, Alina Alb Lupaş, Fairouz Tchier   +5 more
doaj   +2 more sources

Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions

Mathematics
In 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, Alina Alb Lupaş, Haifa Bin Jebreen, Georgia Irina Oros, Teodor Bulboacă, Qazi Zahoor Ahmad   +5 more
doaj   +2 more sources

Differential calculus on quantum groups: Constructive procedure

, 1994
10 pages, CERN-TH.7417 ...
Branislav Jurčo
openalex   +4 more sources

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
doaj   +1 more source

Quantum Lie Algebras and Differential Calculus on Quantum Groups [PDF]

Progress of Theoretical Physics Supplement, 2013
Denis Bernard
openalex   +3 more sources

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, Mansour F. Yassen, Abdelhamid Albaid   +2 more
doaj   +1 more source

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
doaj   +1 more source

Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives

Demonstratio Mathematica, 2023
In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
J. Alzabut, M. Houas, M. Abbas
semanticscholar   +1 more source

Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain

Axioms, 2021
In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus).
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source