Results 11 to 20 of about 1,268 (75)
Construction of the Shifted Modified Gegenbauer Polynomials and Approximation
Advances in Mathematical PhysicsMSC2020 Classification: 42C05 ...
Abdelhamid Rehouma, Hossein Jafari
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Advances in Mathematical PhysicsMSC2020 Classification: 26A33, 44A20, 74A25, 33C45 ...
Mulualem Aychluh +3 more
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A semicircle law and decorrelation phenomena for iterated Kolmogorov loops
Journal of the London Mathematical Society, Volume 103, Issue 2, Page 558-586, March 2021., 2021 Abstract We consider a standard one‐dimensional Brownian motion on the time interval [0,1] conditioned to have vanishing iterated time integrals up to order N. We show that the resulting processes can be expressed explicitly in terms of shifted Legendre polynomials and the original Brownian motion, and we use these representations to prove that the ...
Karen Habermann
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q-Functions and Distributions, Operational and Umbral Methods
Mathematics, 2021 The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli +3 more
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A Note on the Derivatives of Isotropic Positive Definite Functions on the Hilbert Sphere [PDF]
, 2019 In this note we give a recursive formula for the derivatives of isotropic positive definite functions on the Hilbert sphere. We then use it to prove a conjecture stated by Tr\"ubner and Ziegel, which says that for a positive definite function on the ...
Jäger, Janin
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Some results on a generalized ω‐Jacobi transform
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3379-3387, 2004., 2004 We introduce a generalized ω‐Jacobi transform and obtain images of certain functions under this transform. Moreover, we define a new probability density function (pdf) involving this new generalized ω‐Jacobi function. Some basic functions associated with the pdf, such as characteristic function, moments and distribution function, are evaluated.
Y. Ben Nakhi, S. L. Kalla
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Journal of Applied Mathematics, Volume 2004, Issue 5, Page 359-369, 2004., 2004 Using a general and simple algebraic approach, some results on Krall‐type orthogonal polynomials and some of their extensions are obtained.
R. Álvarez-Nodarse +2 more
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The finite Fourier transform of classical polynomials [PDF]
, 2014 The finite Fourier transform of a family of orthogonal polynomials $A_{n}(x)$, is the usual transform of the polynomial extended by $0$ outside their natural domain.
Dixit, Atul +3 more
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The second‐order self‐associated orthogonal sequences
Journal of Applied Mathematics, Volume 2004, Issue 2, Page 137-167, 2004., 2004 The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of class s ≤ 3. The characteristic elements of the structure relation and of the second‐order differential equation are given explicitly.
P. Maroni, M. Ihsen Tounsi
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The Hermite polynomials and the Bessel functions from a general point of view
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3633-3642, 2003., 2003 We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential‐difference equations which are isospectral to those of the ordinary case.
G. Dattoli +2 more
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