Results 31 to 40 of about 653 (205)
Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
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Hankel Determinants of Random Moment Sequences [PDF]
Journal of Theoretical Probability, 2016 Keyword and Phrases: Hankel determinant, random moment sequences, weak convergence, large deviation principle, canonical moments, arcsine distribution AMS Subject Classification: 60F05, 60F10, 30E05 ...
Dette, Holger, Tomecki, Dominik
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Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
Fractal and Fractional, 2019 The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan +1 more
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Linear systems and determinantal random point fields. [PDF]
, 2008 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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Catalan–Qi Numbers, Series Involving the Catalan–Qi Numbers and a Hankel Determinant Evaluation
Journal of Mathematics, 2020 In this paper, using a study of the polynomial of Jacobi, we give an evaluation of the Hankel determinants that are associated with the sequence of Catalan–Qi numbers and several sequences of series involving the Catalan–Qi numbers.
Wathek Chammam
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Mathematics, 2022 In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function.
Lei Shi +4 more
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The Hankel Determinant of Exponential Polynomials [PDF]
The American Mathematical Monthly, 2000 (2000). The Hankel Determinant of Exponential Polynomials. The American Mathematical Monthly: Vol. 107, No. 6, pp. 557-560.
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A q-analogue of Catalan Hankel determinants [PDF]
, 2010 17 pagesInternational audienceIn this paper we shall survey the various methods of evaluating Hankel determinants and as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers. Here we consider $\frac{(aq;q)_{n}}{(abq^{2};
Ishikawa, Masao +2 more
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