Precise analytic approximation for the modified Bessel function I 1 (x)



Document title: Precise analytic approximation for the modified Bessel function I 1 (x)
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000425828
ISSN: 0035-001X
Authors: 1
2
2
Institutions: 1Universidad de Antofagasta, Departamento de Física, Antofagasta. Chile
2Universidad de Antofagasta, Departamento de Matemáticas, Antofagasta. Chile
Year:
Season: Mar-Abr
Volumen: 63
Number: 2
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Precise analytic approximations have been found for the modified Bessel function I 1 (x) of order one. The approximant is simple and with good accuracy for every positive value of the variable x. The method to obtain the approximant is an improvement of the multipoint quasi-rational approximation technique, MPQA. This is obtained combining rational functions with elementary auxiliary functions as a bridge function between the power series and asymptotic expansion
Disciplines: Física y astronomía
Keyword: Física,
Aproximaciones y expansiones,
Funciones especiales
Keyword: Physics,
Approximations and expansions,
Special functions
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