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q-Derivative Operators and Basic Hypergeometric Series
Results in Mathematics, 2006By means of q-derivative operators, we investigate formal power series expansions. Two main expansion formulae in terms of q-derivative operators are established which can be considered as extensions of the corresponding results due to Carlitz (1973) and Liu (2002).
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Leibniz rule for the high q -derivatives of a quotient of two functions
Mathematical Methods in the Applied SciencesIn this paper, we introduce some explicit formulas for the positive integer order q -derivative of a quotient of two functions. We establish the connections between linear algebra, the homomorphisms between the commutative algebras and the properties of q ...
Predrag M. Rajković +2 more
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On Fractional q-Integrals, q-Derivatives and Corresponding Equations
AIP Conference Proceedings, 2009Based on the fractional q‐integral with the parametric lower limit of integration, we define fractional q‐derivative of Riemann‐Liouville and Caputo type. The properties are studied separately as well as relations between them and their compositions.
M. S. Stanković +4 more
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q-Derivatives, quantization methods and q-algebras
AIP Conference Proceedings, 1998Using the example of Borel quantization on S1, we discuss the relation between quantization methods and q-algebras. In particular, it is shown that a q-deformation of the Witt algebra with generators labeled by Z is realized by q-difference operators. This leads to a discrete quantum mechanics. Because of Z, the discretization is equidistant.
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Classes of p-valent harmonic functions defined by q-derivative operator
Afrika Matematika, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Positive Solutions for a Class of Fractional Boundary Value Problem with q-Derivatives
Mediterranean Journal of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Furi, Kang, Shugui
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Carbon-Based MOF Derivatives: Emerging Efficient Electromagnetic Wave Absorption Agents
Nano-Micro Letters, 2021Zhou Wang, Fenglong Wang, Lili Wu
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Sustainable Cellulose and Its Derivatives for Promising Biomedical Applications
Progress in Materials Science, 2023Haipeng Yu, Dawei Zhao, Wenshuai Chen
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Inositol Derivatives: Evolution and Functions
Nature Reviews Molecular Cell Biology, 2008Robert Hall Michell
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