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# Mathematics Function handbook

Abstract. Function handbook contains all elementary, trigonometric and hyperbolic functions — their definitions, graphs, properties and identities.

## 1. Introduction

When working at scientific calculator Li-L project we wanted to give some gift to its the future users. This scientific calculator has an embedded Help available just in two clicks for every part of the application and we had an idea to create function handbook and include it as a part of the Help, so that click in the Li-L calculator keypad took the user to the handbook page with function description.

The most challenging part of the idea was graphics. We wanted every function to have its graph and we set high standards for graphics: it was to be properly scaled, numbered and antialiased. It was interesting and difficult job: every figure was created in several stages with final stage of editing on pixel level. When the task was completed, maybe first time in my life I saw all the functions in the same scale, properly curved and cut, so that all the features were clearly visible.

The result got was so great we decided to put this beauty online. And now you can access what Li-L calculator users have on their desktops. Below you will find functions put into several lists — every list holds all functions, but ordering is different, so that you can look up the function by its notation, name or article head.

Li-L calculator handbook contains all elementary, trigonometric and hyperbolic functions. Scientific calculator Li-X got handbook extended with gamma and Bessel functions and scientific calculator Li-Xc got handbook extended with modified Bessel functions.

## 4. Function index by notation

References. The handbook is a part of scientific calculator Li-L and scientific calculator Li-X products.

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