Engineering functions bessel, besseli, besselj, besselk, bessely
Excel Function BESSELI
The BESSELI() function is used to determine the Bessel function of imaginary coordinates.
The Bessel function is most often used in wave propagation problems.
This function is also called as cylinder functions.
These functions are most often found in the Laplace equations.
| Number | n Value | BESSELI | Formula |
| 2 | 2 | 0.688948449197763 | =BESSELI(L5,M5) |
| 5 | 3 | 10.3311501959995 | =BESSELI(L6,M6) |
| 4 | 5 | 0.504724372851496 | =BESSELI(L7,M7) |
| 6 | 2 | 46.7870948981834 | =BESSELI(L8,M8) |
| 1 | 1 | 0.565159097581943 | =BESSELI(L9,M9) |
Excel Function BESSELJ
The BESSELJ() function returns the Bessel function in terms of Jn for the given order and value.
This function takes two arguments, one is value and the other represents order.
This function returns Bessel function values of purely imaginary part.
| Number | n Value | BESSELJ | Formula |
| 2 | 2 | 0.352834207514176 | =BESSELJ(L19,M19) |
| 5 | 3 | 0.364831233515002 | =BESSELJ(L20,M20) |
| 4 | 5 | 0.132086656055948 | =BESSELJ(L21,M21) |
| 6 | 2 | -0.242873212545006 | =BESSELJ(L22,M22) |
| 1 | 1 | 0.44005058567713 | =BESSELJ(L23,M23) |
Excel Function BESSELK
The BESSELK() functions calculates the Bessel function value with respect to Kn(x).
This function is also known as Hyperbolic function.
This function also takes into account, the imaginary part of the equation only.
| Number | n Value | BESSELK | Formula |
| 2 | 2 | 0.25375976 | =BESSELK(L32,M32) |
| 5 | 3 | 8.29176837140317E-03 | =BESSELK(L33,M33) |
| 4 | 5 | 0.154342548813926 | =BESSELK(L34,M34) |
| 6 | 2 | 1.69196756562546E-03 | =BESSELK(L35,M35) |
| 1 | 1 | 0.601907231666906 | =BESSELK(L36,M36) |
Excel Function BESSELY
The BESSELY() function is used to determine the Bessel function with respect to Yn(x).
This function is also termed as Weber function.
This function takes two arguments, order and value.
| Number | n Value | BESSELY | Formula |
| 2 | 2 | -0.617408098385051 | =BESSELY(L45,M45) |
| 5 | 3 | 0.146267163302253 | =BESSELY(L46,M46) |
| 4 | 5 | -0.795851418214675 | =BESSELY(L47,M47) |
| 6 | 2 | 0.229857908031025 | =BESSELY(L48,M48) |
| 1 | 1 | -0.78121282095312 | =BESSELY(L49,M49) |
The Bessel functions are most often used in Engineering field especially in wave propagation problems.
This function is also used in determining solutions for differential equations.
Strong knowledge of Laplace and Wave equation is required to understand these functions.