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A possible generalization Shannon’s entropy using q-calculus
Journal of Mathematical Chemistry, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Iranian Journal of Science and Technology, Transactions A: Science, 2020
Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, are known to have widespread applications, particularly in several areas of number theory and combinatorial analysis such as (for example) the theory of partitions.
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Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, are known to have widespread applications, particularly in several areas of number theory and combinatorial analysis such as (for example) the theory of partitions.
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2012
We give a systematic summary of the applications of q-analysis in physics in nine separate sections. Each section is about a certain theme, the connection is the quantum group SU q (2). Both the Santilli hadron mechanics and the Wess-Zumino model for elementary particles use q-calculus as a mathematical model.
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We give a systematic summary of the applications of q-analysis in physics in nine separate sections. Each section is about a certain theme, the connection is the quantum group SU q (2). Both the Santilli hadron mechanics and the Wess-Zumino model for elementary particles use q-calculus as a mathematical model.
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On the Solutions of Some Equations in (p, q)-Calculus
2023In this paper, we introduce the Laplace equation in (p, q)-calculus and give the solutions of the equation using the separation method into its variables. We also give the (p, q)-calculus version of the equation of motion, which expresses the displacement of a falling field in a resistant environment.
Turan, Nihan, Basarır, Metin
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The different languages of q-calculus
2012We give a survey of the different schools in q-analysis and introduce difference calculus and Bernoulli numbers to make a preparation for the important fourth chapter. We summarize the different attempts at elliptic and Theta functions, both of which are intimately related to q-calculus.
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Relations Between the Fractional Operators in q-Calculus
2020In this survey paper, we will consider the fractional operators in q-calculus. Starting from the fractional versions of q-Pochhammer symbol, we generalize the notions of the fractional q-integral and q-derivative by introducing variable lower bound of integration.
Sergei Silvestrov +3 more
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Certain inequalities for fractional $(p,q)$-calculus
Advanced Studies: Euro-Tbilisi Mathematical Journal, 2022Jain, Pankaj, Manglik, Rohit
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Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022Hafiz Muhammad Fahad +2 more
exaly
ON FRACTIONAL Q-CALCULUS OF THE R-FUNCTION
Advances in Mathematics: Scientific Journal, 2020C. Gammeng, U. K. Saha, S. Maity
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