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<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
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*Where <math>x</math> is the value at which to evaluate the function
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*<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.
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*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>
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*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.
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where <math>\alpha</math> is the arbitrary complex number.
*But in most of the cases α is the non-negative real number.
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*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.
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*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..
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*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.
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*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()}
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*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
  
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