Results 11 to 20 of about 1,020 (214)
Totally Positive Wronskian Matrices and Symmetric Functions [PDF]
AxiomsThe elements of the bidiagonal decomposition (BD) of a totally positive (TP) collocation matrix can be expressed in terms of symmetric functions of the nodes. Making use of this result, and studying the relation between Wronskian and collocation matrices
Pablo Díaz +2 more
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Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials [PDF]
Journal of Mathematics, 2013 For the famous Darboux-Pöschl-Teller equation, we present new wronskian representation both for the potential and the related eigenfunctions. The simplest application of this new formula is the explicit description of dynamics of the DPT potentials and ...
Pierre Gaillard, Vladimir Matveev
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On one generalization of Wronskian
Lietuvos Matematikos Rinkinys, 2007 In this article the properties of the specially introduced determinant, elements of which are the divided differences in different orders are studied.
Eduardas Kirjackis
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The Wronskian and its derivatives
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2011 This note reports on some joint work with I. Scherbak, aiming to overview a connection between generalized wronskians (of fundamental systems of solutions of linear ordinary differential equations with constant coefficients) and the intersection theory ...
Letterio Gatto
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Zeros of the Wronskian and renormalized oscillation theory [PDF]
American Journal of Mathematics, 1996 For general Sturm-Liouville operators with separated boundary conditions, we prove the following: If E 1,2 ∈ R and if u 1,2 solve the differential equation Hu j = E j u j , j = 1, 2 and respectively satisfy the boundary condition on the left/right, then the dimension of the spectral projection P ( E 1 , E 2 ) ( H ) of H equals the number of zeros of ...
Gesztesy, F., Simon, B., Teschl, G.
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With Wronskian through the Looking Glass [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 In the work of Mukhin and Varchenko from 2002 there was introduced a Wronskian map from the variety of full flags in a finite dimensional vector space into a product of projective spaces. We establish a precise relationship between this map and the Plücker map.
Gorbounov, Vassily, Schechtman, Vadim
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Wronskians and Linear Independence [PDF]
The American Mathematical Monthly, 2010 We give a new and simple proof of the fact that a finite family of analytic functions has a zero Wronskian only if it is linearly dependent.
Bostan, Alin, Dumas, Philippe
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Coefficients of Wronskian Hermite polynomials [PDF]
, 2020 We study Wronskians of Hermite polynomials labeled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients.
Clare Dunning +5 more
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Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials [PDF]
, 2015 In this paper, we conjecture some regularity properties for the zeros of Wronskian and Casorati determinants whose entries are orthogonal polynomials. These determinants are formed by choosing orthogonal polynomials whose degrees run on a finite set of ...
Mario Pérez +5 more
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Meromorphic cosets and the classification of three-character CFT
Journal of High Energy Physics, 2023 We investigate the admissible vector-valued modular forms having three independent characters and vanishing Wronskian index and determine which ones correspond to genuine 2d conformal field theories.
Arpit Das +2 more
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