| Line 1: |
Line 1: |
| | <div style="font-size:30px">'''BESSELY(x,n)'''</div><br/> | | <div style="font-size:30px">'''BESSELY(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 | + | *Where <math>x</math> is the value at which to evaluate the function |
| | + | *<math>n</math> is the integer which is the order of the Bessel Function |
| | ==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: <math>x^2 (\frac{d^2 y}{dx^2} + x(dy/dx) + (x^2 - α^2)y =0</math> | + | *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 <math>\alpha</math> is the arbitrary complex number. |
| − | *But in most of the cases α is the non-negative real number. | + | *But in most of the cases <math>\alpha</math> 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 <math>n</math>. |
| − | *The Bessel function of the second kind Yn(x) and sometimes it is called Weber function or the Neumann function.. | + | *The Bessel function of the second kind <math>Yn(x)</math> and sometimes it is called Weber Function or the Neumann Function.. |
| − | *The Bessel function of the 2nd kind of order can be expressed as: Yn(x)=lt p tends to n {Jp(x)Cosp pi()- J-p(x)}/Sinp pi(), where Jn(x) is the Bessel functions of the first kind. | + | *The Bessel function of the 2nd kind of order can be expressed as: <math>Yn(x)= \lim_{p \to \n}\frac{Jp(x)Cosp pi()- J-p(x)}{Sinp pi()} |
| | + | *where Jn(x) is the Bessel functions of the first kind. |
| | *This function will give the result as error when 1.x or n is non numeric2. 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 numeric2. n<0, because n is the order of the function |
| | | | |