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20122020
most citedA basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions

61 citations · 132 across the 6 of their papers we have counts for

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math.CA2020★ 1 cited

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…

math.CA2013★ 8 cited

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…

math.CA2013★ 61 cited

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…

math.CA2013★ 49 cited

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…

math.CA2012★ 12 cited

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…