The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices. [PDF]
Entropy (Basel), 2023 Goulart CA, Pato MP.
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A characterization of the Rogers
, 1994 W. A. Al‐Salam
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Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials. [PDF]
Springerplus, 2016 Khan WA, Haroon H.
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Spectral analysis for the generalized Hermite polynomials [PDF]
, 1994 Allan M. Krall
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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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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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Generalized Hermite Polynomials and the Bose-Like Oscillator Calculus [PDF]
, 1994 Marvin Rosenblum
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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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ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
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