Results 11 to 20 of about 2,744 (114)
Polynomial solutions of nonlinear integral equations [PDF]
, 2008 We analyze the polynomial solutions of a nonlinear integral equation, generalizing the work of C. Bender and E. Ben-Naim. We show that, in some cases, an orthogonal solution exists and we give its general form in terms of kernel polynomials.
Andrews G E +5 more
arxiv +4 more sources
A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application [PDF]
, 2011 The one variable Krawtchouk polynomials, a special case of the $_2F_1$ function did appear in the spectral representation of the transition kernel for a Markov chain studied a long time ago by M. Hoare and M. Rahman.
Grünbaum, F. Alberto, Rahman, Mizan
core +4 more sources
Numerical Mathematics: Theory, Methods and Applications, 2019 Diagonalized Chebyshev rational spectral methods for solving second-order elliptic problems on the half/whole line are proposed. Some Sobolev bi-orthogonal rational basis functions are constructed which lead to the diagonalization of discrete systems ...
Yanmin Ren
semanticscholar +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
Orthogonality Relations for Multivariate Krawtchouk Polynomials [PDF]
, 2011 The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Gr\"unbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages, arXiv:1007.4327]. In
Mizukawa, Hiroshi
core +2 more sources
A note on degenerate Hermite poly-Bernoulli numbers and polynomials
, 2016 In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind.
W. Khan
semanticscholar +1 more source
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
wiley +1 more source
On generalized Laguerre matrix polynomials
Acta Universitatis Sapientiae: Mathematica, 2018 The main object of the present paper is to introduce and study the generalized Laguerre matrix polynomials for a matrix that satisfies an appropriate spectral property.
Batahan Raed S., Bathanya A. A.
doaj +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
On (p, q)-extension of further members of Bessel-Struve functions class
Miskolc Mathematical Notes, 2019 In [10] .p;q/–extensions of the modified Bessel and the modified Struve functions of the first kind are presented. This article companion to [10] contains the .p;q/–extension of modified Struve function of the second kind M ;p;q and the Bessel-Struve ...
R. K. Parmar, Tibor K. Poganj
semanticscholar +1 more source