Manuals/calci/BESSELJ

BESSELJ(x,n)


  • is the value to evaluate the function
  • is the order of the Bessel function and is an integer.

Description

  • 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's Differential Equation is defined as:  

where   is the arbitrary Complex Number.

  • But in most of the cases   is the non-negative real number.
  • The solutions of this equation are called Bessel Functions of order n.
  • Bessel functions of the first kind, denoted as  
  • The Bessel function of the first kind of order can be expressed as:

 

  • where   or
  •   is the Gamma Function.
  • This function will give result as error when
1.   or   is non numeric
2.  , because   is the order of the function.

ZOS

  • The syntax is to calculate BESSELJ in ZOS is  .
    •   is the value to evaluate the function
    •   is the order of the Bessel function and is an integer.
  • For e.g.,BESSELJ(0.789..0.901..0.025,5)

Examples

  1. BESSELJ(2,3) = 0.12894325
  2. BESSELJ(7,2) = -0.301417224
  3. BESSELJ(5,1) = -0.327579139

See Also

References

Bessel Function