M
Mohammad Masjed-Jamei
Researcher at K.N.Toosi University of Technology
Publications - 130
Citations - 1121
Mohammad Masjed-Jamei is an academic researcher from K.N.Toosi University of Technology. The author has contributed to research in topics: Orthogonal polynomials & Quadrature (mathematics). The author has an hindex of 17, co-authored 126 publications receiving 964 citations. Previous affiliations of Mohammad Masjed-Jamei include University of Kassel & Alexander von Humboldt Foundation.
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Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
TL;DR: In this paper, the authors characterized the infinite sequences of orthogonal polynomials of Jacobi, Laguerre and Hermite, which satisfy a second order differential equation.
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A basic class of symmetric orthogonal polynomials using the extended Sturm–Liouville theorem for symmetric functions
TL;DR: In this article, a basic class of symmetric orthogonal polynomials (BCSOP) with four free parameters is introduced and all its standard properties, such as a generic second order differential equation along with its explicit polynomial solution, a generic orthogonality relation and a generic three term recurrence relation, are presented.
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A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it
TL;DR: In this article, a generic formula for polynomial solution families of the well-known differential equation of hypergeometric type was presented, and it was shown that all the three classical orthogonal polynomials as well as three finite polynomorphisms can be identified as special cases of this derived polynome sequence.
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A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems
TL;DR: In this paper, the usual Sturm-Liouville problems are extended for symmetric functions so that the corresponding solutions preserve the orthogonality property, and two basic examples as special samples of a generalized Sturm Liouville problem are then introduced.
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A functional generalization of the Cauchy–Schwarz inequality and some subclasses
TL;DR: A functional generalization of the Cauchy–Schwarz inequality is presented for both discrete and continuous cases and some of its subclasses are then introduced and it is shown that many well-known inequalities related to the cauchy- Schwarz inequality are special cases of the inequality presented.