61 citations · 132 across the 6 of their papers we have counts for
6 papers
A generic classification of exceptional orthogonal X1-polynomials based on Pearson distributions family
Mohammad Masjed-Jamei, Zahra Moalemi
The so-called exceptional orthogonal X1-polynomials arise as eigen functions of a Sturm-Liouville problem. In this paper, a generic classification of these polynomials is presented…
Incomplete Symmetric Orthogonal Polynomials of Finite Type Generated by a Generalized Sturm-Liouville Theorem
Mohammad Masjed-Jamei, Zahra Moalemi, Nasser Saad
In a classical case, orthogonal polynomial sequences are in such a way that the th polynomial has the exact degree . Such sequences are complete and form a basis of the spa…
Two Finite Classes of Orthogonal Functions
Mohammad Masjed-Jamei, Wolfram Koepf
By using Fourier transforms of two symmetric sequences of finite orthogonal polynomials, we introduce two new classes of finite orthogonal functions and obtain their orthogonality…
A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
Mohammad Masjed-Jamei
In this research, by applying the extended Sturm-Liouville theorem for symmetric functions, a basic class of symmetric orthogonal polynomials (BCSOP) with four free parameters is i…
A Generalization of Classical Symmetric Orthogonal Functions Using a Symmetric Generalization of Sturm-Liouville Problems
Mohammad Masjed-Jamei
In this paper, usual Sturm-Liouville problems are extended for symmetric functions so that the corresponding solutions preserve the orthogonality property. Two basic examples, whic…
A basic class of symmetric orthogonal polynomials of a discrete variable
Mohammad Masjed-Jamei, Iván Area
By using a generalization of Sturm-Liouville problems in discrete spaces, a basic class of symmetric orthogonal polynomials of a discrete variable with four free parameters, which…