Changes

<div style="font-size:30px">'''BESSELJ(x,n)'''</div><br/>

<div style="font-size:30px">'''BESSELJ(x,n)'''</div><br/>

*where 'x' is the value at which to evaluate the function and n is the integer which is the order of the Bessel function

*<math>x</math> is the value to evaluate the function

*<math>n</math> is the order of the Bessel function and is an integer

==Description==

==Description==

*This function gives the value of the modified Bessel function.

*This function gives the value of the modified Bessel function.

*Bessel functions is also called cylinder functions because they appear in the solution to Laplace's equation in cylindrical coordinates.

*Bessel functions is also called Cylinder Functions because they appear in the solution to Laplace's equation in cylindrical coordinates.

*Bessel's Differential Equation is defined as: x^2 (d^2 y/dx^2) + x(dy/dx) + (x^2 - α^2)y =0

*Bessel's Differential Equation is defined as: <math>x^2\frac{d^2 y}{dx^2} + x\frac{dy}{dx} + (x^2 - \alpha^2)y =0</math>

where α is the arbitary complex number.

where α is the arbitrary complex number.

*But in most of the cases α is the non-negative real number.

*But in most of the cases α is the non-negative real number.

*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 Jn(x), and

*Bessel functions of the first kind, denoted as Jn(x), and

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

*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

*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

==Examples==

==Examples==