Results 231 to 238 of about 11,158 (238)
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On sums of squares of Fibonomial coefficients by q-calculus
Asian-European Journal of Mathematics, 2016We present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kılıç and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, accepted in Math. Slovaca]. For this, first
Kilic, Emrah, Yalciner, Aynur
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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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Itô’s Lemma with Quantum Calculus (q-Calculus): Some Implications
Foundations of Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Newton Like Line Search Method Using q-Calculus
2017In this paper some Newton like methods for unconstrained optimization problem are restructured using q-calculus (quantum calculus). Two schemes are proposed, (1) q-Newton line search scheme, (2) a variant of q-Newton line search scheme. Global convergence of these schemes are discussed and numerical illustrations are provided.
Suvra Kanti Chakraborty +1 more
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R(p,q)-calculus: differentiation and integration
SUT Journal of Mathematics, 2013Mahouton Norbert Hounkonnou +1 more
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