Open AccessSOME RECURRENCE FORMULAS FOR A NEW CLASS OF SPECIAL POLYNOMIALS AND SPECIAL FUNCTIONS
Author(s) -
Snježana Maksimović,
Nebojša Đurić,
Ivan Vanja Boroja,
Sandra Kosić-Jeremić
Publication year - 2020
Publication title -
savremena teorija i praksa u graditeljstvu
Language(s) - English
Resource type - Journals
ISSN - 2566-4484
DOI - 10.7251/stp2014071m
Subject(s) - mathematics , special functions , class (philosophy) , pure mathematics , set (abstract data type) , orthogonal polynomials , integrable system , recurrence relation , differential equation , classical orthogonal polynomials , algebra over a field , space (punctuation) , square integrable function , discrete orthogonal polynomials , mathematical analysis , computer science , artificial intelligence , programming language , operating system
In this paper we used a new class of special functions and special polynomials which are solutions different Sturm Liouvile differential equations of second order. These functions form a basis of a space of square integrable functions over set of a real numbers. We investigated some properties of these polynomials and established some recurrence formulas. Using a new class of special functions, we obtained some useful summation formulas and recurrence formulas.