Changes

*The solutions of this equation are called Bessel Functions of order n.  

*The solutions of this equation are called Bessel Functions of order n.  

*Bessel functions of the first kind, denoted as <math>Jn(x)</math>

*Bessel functions of the first kind, denoted as <math>Jn(x)</math>

*The Bessel function of the first kind of order can be expressed as: <math>Jn(x)=\sum_{k=0}^\infity){(-1)^k(x/2)^n+2k}/k!gamma(n+k+1)</math>, where gamma(n+k+1)=(n+k)! or                                                                       *Integral 0 to infinity  x^(n+k).e^-x dx. is the gamma function.

*The Bessel function of the first kind of order can be expressed as:

*This function will give the result as error when 1.x or n is non numeric 2. n<0, because n is the order of the function

<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

*\int\limits_{0}^{\infty} x^{n+k}*e^{-x} dx is the gamma function.

*This function will give result as error when  

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

==Examples==

==Examples==