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Manuals/calci/BESSELJ
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Revision as of 04:33, 2 December 2013
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04:33, 2 December 2013
→Description
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*The Bessel function of the first kind of order can be expressed as:
*The Bessel function of the first kind of order can be expressed as:
<math>Jn(x)=\sum_{k=0}^\infty \frac{(-1)^k}{k!\Gamma(n+k+1)}.(\frac{x}{2})^{n+2k}</math>
<math>Jn(x)=\sum_{k=0}^\infty \frac{(-1)^k}{k!\Gamma(n+k+1)}.(\frac{x}{2})^{n+2k}</math>
−
*where <math>\Gamma(n+k+1)=(n+k)!<math> or
+
*where <math>\Gamma(n+k+1)=(n+k)!<
/
math> or
−
*\int\limits_{0}^{\infty} x^{n+k}*e^{-x} dx is the
gamma function
.
+
*
<math>
\int\limits_{0}^{\infty} x^{n+k}*e^{-x} dx
</math>
is the
Gamma Function
.
*This function will give result as error when
*This function will give result as error when
1. <math>x</math> or <math>n</math> is non numeric
1. <math>x</math> or <math>n</math> is non numeric
−
2. <math>n<0</math>, because <math>n</math> is the order of the function
+
2. <math>n < 0</math>, because <math>n</math> is the order of the function
==Examples==
==Examples==
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