Numerical evaluation of the modified Bessel functions I and K
نویسندگان
چکیده
منابع مشابه
Representation of the Modified Bessel Functions ∗
Some power series representations of the modified Bessel functions (McDonald functions Kα) are derived using the little known formalism of fractional derivatives. The resulting summation formulae are believed to be new. 1 Fractional derivatives There are several non-trivial examples in mathematics when some quantity, originally defined as integer, can radically extend its original range and ass...
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15 صفحه اولSome Inequalities for Modified Bessel Functions
We denote by Iν and Kν the Bessel functions of the first and third kind, respectively. Motivated by the relevance of the function wν t t Iν−1 t /Iν t , t > 0, in many contexts of applied mathematics and, in particular, in some elasticity problems Simpson and Spector 1984 , we establish new inequalities for Iν t /Iν−1 t . The results are based on the recurrence relations for Iν and Iν−1 and the ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1981
ISSN: 0898-1221
DOI: 10.1016/0898-1221(81)90080-8