ATN Inverse Tangent
ATN.1 Introduction |
top up back next into bottom |
Let be a complex variable of .The function Inverse Tangent (noted ) is defined by the following second order differential equation
ATN.1.1 |
The initial conditions of ATN.1.1 are given at by
ATN.1.2 |
ATN.2 Series and asymptotic expansions |
top up back next into bottom |
ATN.2.1 Asymptotic expansion at |
top up back next into bottom |
ATN.2.1.1 First terms |
top up back next into bottom |
ATN.2.1.1.1 |
ATN.2.1.2 General form |
top up back next into bottom |
ATN.2.2 Asymptotic expansion at |
top up back next into bottom |
ATN.2.2.1 First terms |
top up back next into bottom |
ATN.2.2.1.1 |
ATN.2.2.2 General form |
top up back next into bottom |
ATN.2.3 Taylor expansion at |
top up back next into bottom |
ATN.2.3.2 General form |
top up back next into bottom |
ATN.2.3.2.1 |
ATN.2.3.2.2 |
ATN.2.3.2.3 |