Results 31 to 40 of about 2,335 (226)
On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
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Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]
Radioengineering, 2018 A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic +3 more
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Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
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On the Integral Representation of Jacobi Polynomials
MathematicsIn this paper, we present a new integral representation for the Jacobi polynomials that follows from Koornwinder’s representation by introducing a suitable new form of Euler’s formula.
Enrico De Micheli
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Monotonicity of zeros of Jacobi polynomials
Journal of Approximation Theory, 2007 AbstractDenote by xnk(α,β), k=1,…,n, the zeros of the Jacobi polynomial Pn(α,β)(x). It is well known that xnk(α,β) are increasing functions of β and decreasing functions of α. In this paper we investigate the question of how fast the functions 1-xnk(α,β) decrease as β increases.
Dimitrov, Dimitar K. +1 more
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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative
Abstract and Applied Analysis, 2013 By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
Bayram Çekim, Esra Erkuş-Duman
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Journal of Mathematical Analysis and Applications, 1994 AbstractThe differential operator generated by the Jacobi differential equation (1 − x2) y″ + [β − α − (α + β + 2)x]y′ + n(α + β + n + l) y = 0, x ∈ [− 1, 1]is considered for all α and β in both the right and left definite spaces. Shifted Jacobi operators when α < 1, β > − 1, when α > − 1, β < 1, and when α < 1, β − 1, β > − 1 are introduced.
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song +4 more
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Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain
Image Analysis and StereologyIn this paper, we present recurrence relations for the Jacobi weighted orthogonal polynomials Pn,r(α,β,γ) (u, v, w) with r = 0, 1, . . . , n, where n ≥ 0, defined on the triangular domain T = {(u, v, w) : u, v, w ≥ 0, u + v + w = 1} for values of α, β ...
Wala’a A. AlKasasbeh +5 more
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Journal of Function Spaces, 2018 We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one,
Eduard Navas, Wilfredo O. Urbina
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