Results 11 to 20 of about 214 (120)

Wavelets-Associated Approximation to the Family of New Class of q-Szász Operators Via q-Analog [PDF]

Journal of Function Spaces
MSC2020 Classification: Primary 41A25, 41A36; Secondary 33C45.
Md. Nasiruzzaman, Amel Souhail, Adel Alatawi, M. Mursaleen   +3 more
doaj   +3 more sources

On the Krall‐type polynomials [PDF]

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, J. Arvesú, F. Marcellán   +2 more
wiley   +2 more sources

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
wiley   +1 more source

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
wiley   +1 more source

Estimating the Hurst Parameter

, 2007
60F05, 60G15, 60G18, 62F12, 33C45, central limit theorem, estimation, fractional Brownian motion, Gaussian processes, Hermite polynomials,
Corinne Berzin, Berzin, Corinne, León, José R., José León   +3 more
core   +1 more source

Various results in relation with the hypergeometric equations and the hypergeometric functions in the complex plane

, 2020
The main purpose of this investigation is to specify an extensive relation between the hypergeometric functions and the hypergeometric equations in the complex plane and then to point various implications of our main result, conclusion and also ...
IRMAK, Hüseyin
core   +1 more source

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
wiley   +1 more source

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, H. M. Srivastava, D. Sacchetti   +2 more
wiley   +1 more source

Generalized Spectral Projections for the Weinstein Laplacian and Applications

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we investigate the generalized spectral projections associated with the Weinstein Laplacian −ΔdW,α. We first derive an explicit integral formula for these projections and prove that they are intrinsically linked to the spectral density of −ΔdW,α, which endows them with a natural spectral interpretation.
Abdelilah El Mourni, Abdelkarim El Hadouni, Abdessalam Chablaoui, Annamaria Barbagallo   +3 more
wiley   +1 more source

On a generalized Jacobi transform

International Journal of Stochastic Analysis, Volume 15, Issue 4, Page 371-385, 2002., 2002
In this paper, we study a generalized Jacobi transform and obtain images of certain functions under this transform. Furthermore, we define a Jacobi random variable and derive its moments, distribution function, and characteristic function.
José Sarabia, S. L. Kalla
wiley   +1 more source