Results 11 to 20 of about 839,511 (260)
Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
Valentin Ovsienko
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International Journal of Mathematics and Mathematical Sciences, 2004 We consider the modified q-analogue of Riemann zeta function which is defined by ζq(s)=∑n=1∞(qn(s−1)/[n]s ...
Taekyun Kim
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High relative accuracy with matrices of q-integers [PDF]
, 2021 This article shows that the bidiagonal decomposition of many important matrices of q-integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices ...
Peña J.M., Delgado J., Orera H.
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, 2023 In this paper, we first prove two new identities concerning the q-integers and then for these integers we derive several divisibility properties based on these identities and on properties of the q ...
İpek, Ahmet
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The q-integers and the Mersenne numbers [PDF]
, 2018 Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-
Sparavigna, Amelia Carolina +1 more
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ON THE ADDITIVE GROUP OF q-INTEGERS [PDF]
, 2018 Here we will show that the q-integers, that we can find in the q-calculus, are forming an additive group having a generalized sum, which is similar to sum of the Tsallis q-entropy of two independent systems.The full citation for this Article is ...
Sparavigna, Amelia Carolina +1 more
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The Numerical Evaluation Methods for Beta Function
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022 In this study, the beta function that is encountered in computational mathematics and physics is analyzed. The correct evaluation of this function also affects the accuracy of other mathematical functions in quantum mechanical calculations. Especially in
Sılay Aytaç Yükçü
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Uniform approximation by polynomials with integer coefficients [PDF]
Opuscula Mathematica, 2016 Let \(r\), \(n\) be positive integers with \(n\ge 6r\). Let \(P\) be a polynomial of degree at most \(n\) on \([0,1]\) with real coefficients, such that \(P^{(k)}(0)/k!\) and \(P^{(k)}(1)/k!\) are integers for \(k=0,\dots,r-1\).
Artur Lipnicki
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On the generalized sum of the symmetric q-integers [PDF]
, 2018 Here we will show that the symmetric q-integers of the q-calculus have a generalized sum which is also the generalized sum that we find in the \kappa-calculus proposed by G. Kaniadakis.The full citation for this Article is: Sparavigna, A. C. (2018).
Sparavigna, Amelia Carolina +1 more
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Rational operators based on q-integers [PDF]
, 2017 Shepard-type rational operators based on q-integers are studied and convergence results and pointwise approximation error estimates improving previous statements are obtained.
Umberto Amato +3 more
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