One class of special polynomials and special functions in $L^2(\mathbb{R})$ space
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1.

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We construct one class of special polynomials and special functions and give some their interesting propreties. The aim of this paper is to prove that that these functions form a basis of $L^2(\mathbb{R})$ space. In the end we give some interesting sumation formulas.
Publié le :
DOI : 10.30755/NSJOM.07598
Classification : 42C05, 30H10
Keywords: Hardy space, basis of the $L^2(\mathbb{R})$ space, special functions, special polynomials
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     author = {Neboj\v{s}a {\DJ}uri\'c and Snje\v{z}ana Maksimovi\'c},
     title = {One class of special polynomials and special functions in  $L^2(\mathbb{R})$ space},
     journal = {Novi Sad Journal of Mathematics},
     pages = {81 - 90},
     publisher = {mathdoc},
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     year = {2019},
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Nebojša Đurić; Snježana Maksimović. One class of special polynomials and special functions in  $L^2(\mathbb{R})$ space. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1. doi : 10.30755/NSJOM.07598. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07598/

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