Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
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Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials
MathematicsThis manuscript introduces the family of Gould–Hopper–Lambda polynomials and establishes their quasi-monomial properties through the umbral method. This approach serves as a powerful mechanism to analyze the characteristic of multi-variable special ...
Maryam Salem Alatawi
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Modified Hermite polynomials in the spectral approximation for boundary layer problems [PDF]
, 1992 Nevenka Adžić
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A digression on Hermite polynomials
, 2019 Orthogonal polynomials are of fundamental importance in many fields of mathematics and science, therefore the study of a particular family is always relevant. In this manuscript, we present a survey of some general results of the Hermite polynomials and show a few of their applications in the connection problem of polynomials, probability theory and ...
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The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices. [PDF]
Entropy (Basel), 2023 Goulart CA, Pato MP.
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Approximations of orthogonal polynomials in terms of Hermite polynomials [PDF]
, 1999 José Antonio López +1 more
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Heliyon, 2022 Jan AR.
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THE ROLE OF HERMITE POLYNOMIALS IN ASYMPTOTIC ANALYSIS [PDF]
, 2000 Nico Μ. Τemme, José L. López
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A Class of Algorithms for Recovery of Continuous Relaxation Spectrum from Stress Relaxation Test Data Using Orthonormal Functions. [PDF]
Polymers (Basel), 2023 Stankiewicz A.
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Explicit Bounds for Hermite Polynomials in the Oscillatory Region [PDF]
, 2000 William Henry Foster, Ilia Krasikov
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