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- Kelvin_functions abstract "In applied mathematics, the Kelvin functions berν(x) and beiν(x) are the real and imaginary parts, respectively, of where x is real, and Jν(z), is the νth order Bessel function of the first kind. Similarly, the functions Kerν(x) and Keiν(x) are the real and imaginary parts, respectively, of , where is the νth order modified Bessel function of the second kind. These functions are named after William Thomson, 1st Baron Kelvin.While the Kelvin functions are defined as the real and imaginary parts of Bessel functions with x taken to be real, the functions can be analytically continued for complex arguments x ei φ, φ ∈ [0, 2π). With the exception of Bern(x) and Bein(x) for integral n, the Kelvin functions have a branch point at x = 0.".
- Kelvin_functions thumbnail KelvinFunctionBer.png?width=300.
- Kelvin_functions wikiPageExternalLink KelvinFunctions.html.
- Kelvin_functions wikiPageExternalLink kelvin.php.
- Kelvin_functions wikiPageID "11056409".
- Kelvin_functions wikiPageRevisionID "591982932".
- Kelvin_functions first "F. W. J.".
- Kelvin_functions first "L. C.".
- Kelvin_functions hasPhotoCollection Kelvin_functions.
- Kelvin_functions id "10".
- Kelvin_functions last "Maximon".
- Kelvin_functions last "Olver".
- Kelvin_functions title "Bessel functions".
- Kelvin_functions subject Category:Special_hypergeometric_functions.
- Kelvin_functions type Abstraction100002137.
- Kelvin_functions type Function113783816.
- Kelvin_functions type MathematicalRelation113783581.
- Kelvin_functions type Relation100031921.
- Kelvin_functions type SpecialHypergeometricFunctions.
- Kelvin_functions comment "In applied mathematics, the Kelvin functions berν(x) and beiν(x) are the real and imaginary parts, respectively, of where x is real, and Jν(z), is the νth order Bessel function of the first kind. Similarly, the functions Kerν(x) and Keiν(x) are the real and imaginary parts, respectively, of , where is the νth order modified Bessel function of the second kind.".
- Kelvin_functions label "Funkcje Kelvina".
- Kelvin_functions label "Kelvin functions".
- Kelvin_functions label "Функции Кельвина".
- Kelvin_functions sameAs Funkcje_Kelvina.
- Kelvin_functions sameAs m.02qzjd5.
- Kelvin_functions sameAs Q4493413.
- Kelvin_functions sameAs Q4493413.
- Kelvin_functions sameAs Kelvin_functions.
- Kelvin_functions wasDerivedFrom Kelvin_functions?oldid=591982932.
- Kelvin_functions depiction KelvinFunctionBer.png.
- Kelvin_functions isPrimaryTopicOf Kelvin_functions.
