Results 71 to 80 of about 90,721 (207)
On Jacobi and continuous Hahn polynomials [PDF]
arXiv, 1994 Jacobi polynomials are mapped onto the continuous Hahn polynomials by the Fourier transform and the orthogonality relations for the continuous Hahn polynomials then follow from the orthogonality relations for the Jacobi polynomials and the Parseval formula.
arxiv
American Journal of Agricultural Economics, Volume 107, Issue 3, Page 725-751, May 2025.Abstract The literature is replete with valuations of the costs and benefits of environmental change, yet the issue of where those impacts fall across society is rarely considered. This is a significant knowledge gap given clear evidence of social preferences regarding distributional effects reflected in both policy and protest.
Michela Faccioli +3 more
wiley +1 more source
, 2016 In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented.
Area, I. +4 more
core +1 more source
Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials [PDF]
, 2019 We show that the gradient flows associated with a recently found family of Morse functions converge exponentially to the roots of the symmetric continuous Hahn polynomials. By symmetry reduction the rate of the exponential convergence can be improved, which is clarified by comparing with corresponding gradient flows for the roots of the Wilson ...
arxiv +1 more source
The Granger–Johansen representation theorem for integrated time series on Banach space
Journal of Time Series Analysis, Volume 46, Issue 3, Page 432-457, May 2025.We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐ or infinite‐order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity.
Phil Howlett +4 more
wiley +1 more source
Journal of Applied Crystallography, Volume 58, Issue 2, Page 435-446, April 2025.The volume expansion of Li2BeF4 upon melting is less than 5%. The equation describing the change in density of Li2BeF4 due to thermal expansion from room temperature to melting has been measured by neutron and X‐ray diffraction, and the density is found to change depending on molecular weight and enrichment.
D. Nathanael Gardner +12 more
wiley +1 more source
Discrete Darboux transformation for discrete polynomials of hypergeometric type
, 1998 Darboux Transformation, well known in second order differential operator theory, is applied here to the difference equation satisfied by the discrete hypergeometric polynomials(Charlier, Meixner-Krawchuk, Hahn)
+14 more
core +1 more source
Continuous Hahn functions as Clebsch-Gordan coefficients [PDF]
Theory and applications of special functions, 221--284, Dev.
Math., 13, Springer, New York, 2005, 2003 An explicit bilinear generating function for Meixner-Pollaczek polynomials is proved. This formula involves continuous dual Hahn polynomials, Meixner-Pollaczek functions, and non-polynomial $_3F_2$-hypergeometric functions that we consider as continuous Hahn functions. An integral transform pair with continuous Hahn functions as kernels is also proved.
arxiv
β‐Sheets Orientation in Physisorbed Protein Layers
Advanced Materials Interfaces, Volume 12, Issue 6, March 16, 2025.The β‐sheets in physisorbed layers of anti‐immunoglobulin G and bovine serum albumin on gold exhibit a non‐isotropic orientation, with a partial ordering that favors a tilt toward the gold surface. This preferential alignment is evaluated through a comparative analysis of polarization‐modulation infrared reflection‐absorption (PM‐IRRAS) spectra and ...
Matteo Piscitelli +8 more
wiley +1 more source
The Heun operator of Hahn type [PDF]
arXiv, 2018 The Heun-Hahn operator on the uniform grid is defined. This operator is shown to map polynomials of degree $n$ to polynomials of degree $n+1$, to be tridiagonal in bases made out of either Pochhammer or Hahn polynomials and to be bilinear in the operators of the Hahn algebra.
arxiv