# Excel Made Easy

## 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.