Calculation of the zeros of some special functions

We consider solutions, with infinity of zeros, of real second-order linear differential equations. The graph of a solution locates the zeros with a certain precision, which means that zeros are between some successive numerical values of the solution. Once the first zero is calculated, the given equ...

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Main Author:	Nicolae MARCOV
Format:	Article
Language:	English
Published:	National Institute for Aerospace Research “Elie Carafoli” - INCAS 2018-09-01
Series:	INCAS Bulletin
Subjects:	Bessel functions roots non-linear differential equations orthogonal functions
Online Access:	http://bulletin.incas.ro/files/marcov__vol_10_iss_3.pdf

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spelling	doaj-b93f21a5d04d422f979be31929158bc32020-11-25T00:25:34ZengNational Institute for Aerospace Research “Elie Carafoli” - INCASINCAS Bulletin2066-82012247-45282018-09-0110311912610.13111/2066-8201.2018.10.3.10Calculation of the zeros of some special functionsNicolae MARCOV0University of Bucharest Faculty of Mathematics and Computer Science, Str. Academiei nr. 14, sector1, 0101014, Bucharest, Romania, nmarcov@fmi.unibuc.roWe consider solutions, with infinity of zeros, of real second-order linear differential equations. The graph of a solution locates the zeros with a certain precision, which means that zeros are between some successive numerical values of the solution. Once the first zero is calculated, the given equation is converted into a new first-order equation. The zeros of this new equation form a subset of numerical values of the solution of the first order equation.http://bulletin.incas.ro/files/marcov__vol_10_iss_3.pdfBessel functionsrootsnon-linear differential equationsorthogonal functions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nicolae MARCOV
spellingShingle	Nicolae MARCOV Calculation of the zeros of some special functions INCAS Bulletin Bessel functions roots non-linear differential equations orthogonal functions
author_facet	Nicolae MARCOV
author_sort	Nicolae MARCOV
title	Calculation of the zeros of some special functions
title_short	Calculation of the zeros of some special functions
title_full	Calculation of the zeros of some special functions
title_fullStr	Calculation of the zeros of some special functions
title_full_unstemmed	Calculation of the zeros of some special functions
title_sort	calculation of the zeros of some special functions
publisher	National Institute for Aerospace Research “Elie Carafoli” - INCAS
series	INCAS Bulletin
issn	2066-8201 2247-4528
publishDate	2018-09-01
description	We consider solutions, with infinity of zeros, of real second-order linear differential equations. The graph of a solution locates the zeros with a certain precision, which means that zeros are between some successive numerical values of the solution. Once the first zero is calculated, the given equation is converted into a new first-order equation. The zeros of this new equation form a subset of numerical values of the solution of the first order equation.
topic	Bessel functions roots non-linear differential equations orthogonal functions
url	http://bulletin.incas.ro/files/marcov__vol_10_iss_3.pdf
work_keys_str_mv	AT nicolaemarcov calculationofthezerosofsomespecialfunctions
_version_	1725348343914168320

Calculation of the zeros of some special functions

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