How to Use the BESSELI Function in Excel

The BESSELI function in Excel and Google Sheets is designed to calculate the modified Bessel function In(x) for a specified value of x. This function is highly valuable in several fields such as signal processing, physics, and engineering for conducting mathematical and statistical analyses.

Syntax:

The syntax for the BESSELI function is as follows:

BESSELI(x, [order])
  • x: The value at which the function is evaluated.
  • [order] (optional): Specifies the order of the Bessel function. If omitted, the default is 0.

Examples:

Below are a few examples demonstrating the use of the BESSELI function in Excel and Google Sheets:

Formula Result
=BESSELI(2.5) 1.106243
=BESSELI(3, 2) 0.059548
=BESSELI(A2, B2) Result based on the values in cells A2 and B2

In the first example, BESSELI(2.5) computes the modified Bessel function I0 at x=2.5, resulting in 1.106243.

In the second example, BESSELI(3, 2), calculates the modified Bessel function I2 at x=3, leading to an outcome of 0.059548.

The third example illustrates how you can use cell references as inputs for the BESSELI function.

Applications:

The BESSELI function can be applied in various scenarios, such as:

  • Analyzing the frequency response in signal processing.
  • Conducting calculations related to wave propagation and vibrations in engineering.
  • Performing statistical analyses in fields such as physics and astronomy.

Incorporating the BESSELI function into your Excel or Google Sheets formulas enables you to efficiently manage complex calculations that involve modified Bessel functions.

More information: https://support.microsoft.com/en-us/office/besseli-function-8d33855c-9a8d-444b-98e0-852267b1c0df

Other functions
Returns the Bessel function Jn(x)
Returns the modified Bessel function Kn(x)
Returns the Bessel function Yn(x)
Converts a binary number to decimal
Converts a binary number to hexadecimal
Converts a binary number to octal
Returns a 'Bitwise And' of two numbers
Returns a value number shifted left by shift_amount bits
Returns a bitwise OR of 2 numbers
Returns a value number shifted right by shift_amount bits
Returns a bitwise 'Exclusive Or' of two numbers
Converts real and imaginary coefficients into a complex number
Converts a number from one measurement system to another
Converts a decimal number to binary
Converts a decimal number to hexadecimal
Converts a decimal number to octal
Tests whether two values are equal
Returns the error function
Returns the error function
Returns the complementary error function
Returns the complementary ERF function integrated between x and infinity
Tests whether a number is greater than a threshold value
Converts a hexadecimal number to binary
Converts a hexadecimal number to decimal
Converts a hexadecimal number to octal
Returns the absolute value (modulus) of a complex number
Returns the imaginary coefficient of a complex number
Returns the argument theta, an angle expressed in radians
Returns the complex conjugate of a complex number
Returns the cosine of a complex number
Returns the hyperbolic cosine of a complex number
Returns the cotangent of a complex number
Returns the cosecant of a complex number
Returns the hyperbolic cosecant of a complex number
Returns the quotient of two complex numbers
Returns the exponential of a complex number
Returns the natural logarithm of a complex number
Returns the base-10 logarithm of a complex number
Returns the base-2 logarithm of a complex number
Returns a complex number raised to an integer power
Returns the product of complex numbers
Returns the real coefficient of a complex number
Returns the secant of a complex number
Returns the hyperbolic secant of a complex number
Returns the sine of a complex number
Returns the hyperbolic sine of a complex number
Returns the square root of a complex number
Returns the difference between two complex numbers
Returns the sum of complex numbers
Returns the tangent of a complex number
Converts an octal number to binary
Converts an octal number to decimal
Converts an octal number to hexadecimal