Results 31 to 40 of about 1,020 (214)
Rational CFT with three characters: the quasi-character approach
Journal of High Energy Physics, 2020 Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided in arXiv:1810.09472 for the case of two characters ...
Sunil Mukhi, Rahul Poddar, Palash Singh
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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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Wronskian solution for AdS/CFT Y-system [PDF]
, 2011 Using the discrete Hirota integrability we find the general solution of the full quantum Y-system for the spectrum of anomalous dimensions of operators in the planar AdS(5)/CFT4 correspondence in terms of Wronskian-like determinants parameterized by a ...
Leurent, Sebastien +3 more
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On the Total Positivity and Accurate Computations of r-Bell Polynomial Bases
Axioms, 2023 A new class of matrices defined in terms of r-Stirling numbers is introduced. These r-Stirling matrices are totally positive and determine the linear transformation between monomial and r-Bell polynomial bases.
Esmeralda Mainar +2 more
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On the Growth of Wronskians Using their Relative Orders, Relative Types and Relative Weak Types
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic ...
Datta Sanjib Kumar +2 more
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Wronskians of Fourier and Laplace transforms
Transactions of the American Mathematical Society, 2019 Associated with a given suitable function, or a measure, on R \mathbb {R}
Dimitrov, Dimitar K., Xu, Yuan
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Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation
Results in Physics, 2023 The Kundu–Eckhaus (KE) equation describes the propagation of ultra-short femtosecond pulses in optical fibers. In this paper, on the basis of Hirota bilinear form of KE equation, a complex matrix is introduced into the differential relation satisfied by ...
Gui-Min Yue, Xiang-Hua Meng
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Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials [PDF]
, 2022 This paper provides an accurate method to obtain the bidiagonal factorization of Wronskian matrices of Bessel polynomials and of Laguerre polynomials. This method can be used to compute with high relative accuracy their singular values, the inverse of ...
Rubio, B., Mainar, E., Peña, J.M.
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Classifying three-character RCFTs with Wronskian index equalling 0 or 2
Journal of High Energy Physics, 2021 In the modular linear differential equation (MLDE) approach to classifying rational conformal field theories (RCFTs) both the MLDE and the RCFT are identified by a pair of non-negative integers [n,l].
Arpit Das +2 more
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