Results 21 to 30 of about 11,158 (238)
The homotopy analysis method for q-difference equations
Ain Shams Engineering Journal, 2018 The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Mourad S. Semary, Hany N. Hassan
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A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences
Journal of Inequalities and Applications, 2016 Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci +3 more
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q-CALCULUS AND THE DISCRETE INVERSE SCATTERING [PDF]
Modern Physics Letters A, 1995 The discrete inverse scattering in one dimension has been re-identified with lattice calculus. By transforming the deformation parameter, the coordinate and the partial derivatives from lattice space to q-space, the Schrödinger equation with a potential is systematically analyzed.
Karlo, T., Jacob, H., Tripathy, K. C.
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Journal of Nonlinear Mathematical Physics, 2003 The author introduces the tilde operator, which is an involution operator on the parameters in a \(q\)-hypergeometric series. This operator together with the \(q\)-addition lead to a new method for computations and classifications of \(q\)-special functions. Various \(q\)-analogues of some classical functions and formulas are given.
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Dunkl generalization of Szász operators via q-calculus [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ÇEKİM, BAYRAM, Icoz, GÜRHAN
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Mathematics, 2023 As a powerful tool for models of quantum computing, q-calculus has drawn the attention of many researchers in the discipline of special functions. In this paper, we present new properties and characterize q-Bessel functions of the first kind using some ...
Mohammed Fadel, Nusrat Raza, Wei-Shih Du
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Fasciculi Mathematici, 2015 Abstract In this article, we let PCq denote the class of q-convex functions. Certain analytic properties of the class PCq are studied. The maximum of the absolute value of the Fekete-Szegö functional is briey determined.
Ezeafulukwe, Uzoamaka A., Darus, Maslina
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, 2021 In this study, a new representation is obtained for \emph{q}-calculus, as proposed by Borges [Phyica A 340 (2004) 95], and a new dual \emph{q}-integral is suggested.
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Multiplicative Laplace transform in q−calculus
Filomat, 2023 In this study, we introduce q*-(or q-multiplicative) Laplace transform by means of q*-integral. Some properties of q*-Laplace transform are presented. Also, q*-Laplace transform can be utilized for solving q*-linear differential equations.
Mehmet Yilmazer +3 more
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Fractal and Fractional, 2022 A special function is a function that is typically entitled after an early scientist who studied its features and has a specific application in mathematical physics or another area of mathematics.
Najla M. Alarifi, Rabha W. Ibrahim
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