Q U I E T S O F T™ . S P E C I A L . F U N C T I O N S . L I B R A R Y . S C R E E N S H O T S
Note: controls, buttons, menus, ribbon, and scroll bars removed from screenshots for clarity.

B E S S E L . F U N C T I O N S
Here is a plot of five Bessel functions of the First Kind: J₀(x), J_1/2(x), J₁(x), J₂(x), and J₃(x). This plot is taken from the example workbook included with this software product.

Excel has a similar function, BESSELJ(x,n), but it is limited to integer order.

M O D I F I E D . B E S S E L . F U N C T I O N S
Here is a plot of the first four integer order Modified Bessel functions of the First Kind, with results scaled by e^-|x| to avoid overflow. The scale factor option is a function argument. This plot is also included in the example workbook.

Excel has a similar function, BESSELI(x,n), but it is limited to integer order and does not have a scaling option.

B I V A R I A T E . Q - F U N C T I O N
Here is a plot of the bivriate Q-function taken from the example workbook included with this software product. The correlation coefficient is 0.25.

Yes, Excel does heat map plots (with a little VBA)!

C O N F L U E N T . H Y P E R G E O M E T R I C . F U N C T I O N
Here is a plot of the confluent hypergeometric function ₁F₁(a;b;z) as a function of parameters a and b for a fixed value of the argument z = 0.1. This plot is taken from the example workbook included with this software product.

F R E S N E L . I N T E G R A L S
Here is a plot of the Fresnel integral functions, C(x) and S(x), taken from the example workbook included with this software product.