Results 21 to 30 of about 1,020 (214)
Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials [PDF]
, 2021 In this paper an accurate method to construct the bidiagonal factorization of collocation and Wronskian matrices of Jacobi polynomials is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses.
Peña J.M., Mainar E., Rubio B.
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Matrix Approaches for Gould–Hopper–Laguerre–Sheffer Matrix Polynomial Identities
Axioms, 2023 The Gould–Hopper–Laguerre–Sheffer matrix polynomials were initially studied using operational methods, but in this paper, we investigate them using matrix techniques.
Tabinda Nahid +2 more
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The Expansion of Wronskian Hermite Polynomials in the Hermite Basis [PDF]
, 2021 We express Wronskian Hermite polynomials in the Hermite basis and obtain an explicit formula for the coefficients. From this, we deduce an upper bound for the modulus of the roots in the case of partitions of length 2.
Grosu, Corina, Grosu, Codruţ
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On the Wronskian combinants of binary forms [PDF]
, 2007 Given a sequence A=(A1,…,Ar) of binary d-ics, we construct a set of combinants C={Cq:0≤q≤r,q≠1}, to be called the Wronskian combinants of A. We show that the span of A can be recovered from C as the solution space of an SL(2)-invariant differential ...
Chipalkatti, Jaydeep +1 more
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Abundant Interaction Solutions of Sine-Gordon Equation
Journal of Applied Mathematics, 2012 With the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method.
DaZhao Lü +3 more
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An Extension of the Abel–Liouville Identity
Annales Mathematicae Silesianae, 2022 In this note, we present an extension of the celebrated Abel– Liouville identity in terms of noncommutative complete Bell polynomials for generalized Wronskians.
Páles Zsolt, Zakaria Amr
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On the Q operator and the spectrum of the XXZ model at root of unity
SciPost Physics, 2021 The spin-1/2 Heisenberg XXZ chain is a paradigmatic quantum integrable model. Although it can be solved exactly via Bethe ansatz techniques, there are still open issues regarding the spectrum at root of unity values of the anisotropy.
Yuan Miao, Jules Lamers, Vincent Pasquier
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New Exact Solutions for the (3+1)-Dimensional Generalized BKP Equation
Discrete Dynamics in Nature and Society, 2016 The Wronskian technique is used to investigate a (3+1)-dimensional generalized BKP equation. Based on Hirota’s bilinear form, new exact solutions including rational solutions, soliton solutions, positon solutions, negaton solutions, and their interaction
Jun Su, Genjiu Xu
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Comparative growth analysis of wronskians in the light of their relative orders
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta +2 more
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Wronskians, generalized Wronskians and solutions to the Korteweg–de Vries equation [PDF]
Chaos, Solitons & Fractals, 2004 A bridge going from Wronskian solutions to generalized Wronskian solutions of the Korteweg-de Vries equation is built. It is then shown that generalized Wronskian solutions can be viewed as Wronskian solutions. The idea is used to generate positons, negatons and their interaction solutions to the Korteweg-de Vries equation.
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