Least p-Variances Theory

Autor: Masjed-Jamei, Mohammad

As a result of a rather long-time research started in 2016, this theory whose structure is based on a fixed variable and an algebraic inequality, improves and somehow generalizes the well-known least squares theory. In fact, the fixed variable has a

Externí odkaz: http://arxiv.org/abs/2310.14046

A generic classification of exceptional orthogonal X1-polynomials based on Pearson distributions family

Autor: Masjed-Jamei, Mohammad, Moalemi, Zahra

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 based on Pearson distributions family. Then, six special differential

Externí odkaz: http://arxiv.org/abs/2010.11586

DISCRETE PROBABILITY MODELS USING TAYLOR SERIES

Autor: MASJED-JAMEI, MOHAMMAD, OMEY, EDWARD, CADENA, MEITNER, SAAD, NASSER

Publikováno v: Bulletin (Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathématiques), 2022 Jan 01(47), 101-129.

Externí odkaz: https://www.jstor.org/stable/27204995

A generalization of the array type polynomials

Autor: Masjed-Jamei Mohammad, Milovanović Gradimir V, Cıhat Dağlı Muhammet

Publikováno v: Mathematica Moravica, Vol 26, Iss 1, Pp 37-46 (2022)

We introduce a generalization of the array type polynomials by using two specific generating functions and investigate some of its basic properties in the sequel. A recurrence relation and two summation formulas involving these polynomials are also g

Externí odkaz: https://doaj.org/article/13cd3c28978c446d95047dfa8efee3bb

Two Finite Sequences of Symmetric q-Orthogonal Polynomials Generated by Two q-Sturm–Liouville Problems

Autor: Masjed-Jamei, Mohammad, Soleyman, Fatemeh, Koepf, Wolfram

Publikováno v: In Reports on Mathematical Physics February 2020 85(1):41-55