Browsing Mathematics, Statistics, and Physics by Subject "Ultraspherical polynomials"
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Series representations and simulations of isotropic random fields in the Euclidean space
(American Mathematical Society, 20211207)This paper introduces the series expansion for homogeneous, isotropic and mean square continuous random fields in the Euclidean space, which involves the Bessel function and the ultraspherical polynomial, but differs from ... 
Time varying isotropic vector random fields on sphere
(Springer, 201712)For a vector random field that is isotropic and mean square continuous on a sphere and stationary on a temporal domain, this paper derives a general form of its covariance matrix function and provides a series representation ... 
Vector random fields on the probability simplex with metricdependent covariance matrix functions
(Springer Nature, 20221201)This paper constructs a class of isotropic vector random fields on the probability simplex via infinite series expansions involving the ultraspherical polynomials, whose covariance matrix functions are functions of the ...