Results 21 to 30 of about 412 (154)
Indefinite integrals from Wronskians and related linear second-order differential equations [PDF]
, 2021 Many indefinite integrals are derived for Bessel functions and associated Legendre functions from particular transformations of their differential equations which are closely linked to Wronskians.
Conway, John Thomas
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Differential Relations for the Solutions to the NLS Equation and Their Different Representations
Communications in Advanced Mathematical Sciences, 2019 Solutions to the focusing nonlinear Schr\"odinger equation (NLS) of order $N$ depending on $2N-2$ real parameters in terms of wronskians and Fredholm determinants are given.
Pierre Gaillard
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On Certain Wronskians of Multiple Orthogonal Polynomials [PDF]
, 2014 . We consider determinants of Wronskian type whose entries are multiple ortho-gonal polynomials associated with a path connecting two multi-indices. By assuming that the weight functions form an algebraic Chebyshev (AT) system, we show that the poly ...
Zhang, L. +3 more
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Some results on the growth properties of Wronskians [PDF]
, 1988 summary:The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier ...
Bergweiler, W. +2 more
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WKB periods for higher order ODE and TBA equations
Journal of High Energy Physics, 2021 We study the WKB periods for the (r + 1)-th order ordinary differential equation (ODE) which is obtained by the conformal limit of the linear problem associated with the A r 1 $$ {A}_r^{(1)} $$ affine Toda field equation.
Katsushi Ito +3 more
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Wronskian Appell polynomials and symmetric functions [PDF]
Advances in Applied Mathematics, 2019 We study Wronskians of Appell polynomials indexed by integer partitions. These families of polynomials appear in rational solutions of certain Painlevé equations and in the study of exceptional orthogonal polynomials. We determine their derivatives, their average and variance with respect to Plancherel measure, and introduce several recurrence ...
Niels Bonneux +3 more
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Products of eigenfunctions and Wronskians [PDF]
Ufa Mathematical Journal, 2020 Summary: We consider new Wronskian identities found recently in Maikop city. We discuss the relations of these identities with the theory of integrable systems and with the general theory of invertible Darboux transforms for linear differential operators with one independent variable.
Allakhverdyan, Alina Al'bertovna +1 more
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Wronskians and subspaces of certain fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, 1980 The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution
G. J. Etgen, Willie E. Taylor
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Exact WKB methods in SU(2) Nf = 1
Journal of High Energy Physics, 2022 We study in detail the Schrödinger equation corresponding to the four dimensional SU(2) N $$ \mathcal{N} $$ = 2 SQCD theory with one flavour. We calculate the Voros symbols, or quantum periods, in four different ways: Borel summation of the WKB series ...
Alba Grassi, Qianyu Hao, Andrew Neitzke
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Linear dependence of quotients of analytic functions of several variables with the least subcollection of generalized Wronskians [PDF]
, 2005 We study linear dependence in the case of quotients of analytic functions in several variables (real or complex). We identify the least subcollection of generalized Wronskians whose identical vanishing is sufficient for linear dependence.
Walker, Ronald A.
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