Results 31 to 40 of about 246 (165)
Generalized Gegenbauer polynomials [version 1.0] [PDF]
, 2017 Matlab routine for the first N recurrence coefficients of generalized Gegenbauer ...
Walter Gautschi,
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Generalized Fractional Processes with Long Memory and Time Dependent Volatility Revisited
Econometrics, 2016 In recent years, fractionally-differenced processes have received a great deal of attention due to their flexibility in financial applications with long-memory.
M. Shelton Peiris, Manabu Asai
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Generalized Humbert polynomials and second-order partial differential operators [PDF]
, 2009 We define a new class of Humbert's polynomials which generalizes the well-known class of Gegenbauer, Legendre, Pincherle, Horadam–Mahon, Kinney, Hordam–Pethe, Gould and Pathan–Khan polynomials.
Bouali, Abdlilah
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Detecting Periodicity of a General Stationary Time Series via AR(2)‐Model Fitting
Journal of Time Series Analysis, EarlyView.ABSTRACT Estimating the periodicity of a stationary time series via fitting a second‐order stationary autoregressive (AR(2)) model has been initiated by the seminal paper of Yule (1927). We investigate properties of this procedure when applied to general stationary processes possessing a spectral density with a dominant peak at some unknown frequency ...
Jens‐Peter Kreiss +2 more
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Approximation and Orthogonality on Fully Symmetric Domains
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.In this study, we introduce the two‐parameter Pochhammer matrix function. Notably, we establish the (p, k) Pochhammer matrix symbol as a key new construct for our generalizations. Furthermore, we construct gamma and beta matrix functions of two parameters and prove properties similar to their classical counterparts.
Mohamed S. Al–Sheikh +4 more
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Spherical functions on the Grassmann manifold and generalized Jacobi polynomials — Part 2 [PDF]
, 1999 Part 1 of this paper presented an explicit formula for generalized Jacobi polynomials of matrix argument. These polynomials constitute a complete system of orthogonal symmetric polynomials with respect to a multivariate beta measure.
Davis, A.W.
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Characterization of the generalized Gegenbauer polynomials
Applied Mathematical Sciences, 2015 We characterize the generalized Gegenbauer polynomials, then we provide a closed form of the the generalized Gegenbauer polynomials using Bernstein basis. We conclude the paper with some results concerning integrals of the generalized Gegenbauer and Bernstein basis.
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Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals [PDF]
Journal of Classical Analysis, 2013 In this paper we generalize and specialize generating functions for classical orthogonal polynomials, namely Jacobi, Gegenbauer, Chebyshev and Legendre polynomials. We derive a generalization of the generating function for Gegenbauer polynomials through extension a two element sequence of generating functions for Jacobi polynomials.
Cohl, Howard S., MacKenzie, Connor
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A Review of Certain Modern Special Functions and Their Applications
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed +2 more
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