Geodesic
The properties, inequalities and numerical approximation of modified Bessel functions
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 454-466.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Some new properties of kernels of modified Kontorovitch-Lebedev integral transforms - modified Bessel functions of the second kind with complex order are presented. Inequalities giving estimations for $\textcent $###$\sterling $###$${\S}$$###$\copyright \ddot $ these functions with argument and parameter are obtained. The polynomial approximations of these functions as a solutions of linear differential equations with polynomial coefficients and their systems are proposed.
Classification : 33C10, 33F05, 65D20
Keywords: Chebyshev polynomials, modified Bessel functions, Lanczos tau method, kontorovich-lebedev integral transforms 
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     author = {Rappoport, Juri M.},
     title = {The properties, inequalities and numerical approximation of modified {Bessel} functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {454--466},
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     volume = {25},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a3/}
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Rappoport, Juri M. The properties, inequalities and numerical approximation of modified Bessel functions. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 454-466. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a3/