# ASN.1 Introduction

Let be a complex variable of .The function Inverse Sine (noted ) is defined by the following second order differential equation

ASN.1.1

The initial conditions of ASN.1.1 are given at by

 ASN.1.2

Related functions: Inverse Cosine,Inverse Hyperbolic Cosine

# ASN.2 Series and asymptotic expansions

## ASN.2.1 Asymptotic expansion at

### ASN.2.1.1 First terms

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 ASN.2.1.1.1

### ASN.2.1.2 General form

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The general form of is not easy to state and requires to exhibit the basis of formal solutions of ?? (coming soon).

## ASN.2.2 Asymptotic expansion at

### ASN.2.2.1 First terms

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 ASN.2.2.1.1

### ASN.2.2.2 General form

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The general form of is not easy to state and requires to exhibit the basis of formal solutions of ?? (coming soon).

## ASN.2.3 Taylor expansion at

ASN.2.3.1.1

### ASN.2.3.2 General form

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 ASN.2.3.2.1
The coefficients satisfy the recurrence
ASN.2.3.2.2
Initial conditions of ASN.2.3.2.2 are given by
ASN.2.3.2.3

## ASN.2.4 Asymptotic expansion at

### ASN.2.4.1 First terms

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 ASN.2.4.1.1

### ASN.2.4.2 General form

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The general form of is not easy to state and requires to exhibit the basis of formal solutions of ?? (coming soon).

# ASN.3 Graphs

## ASN.3.1 Real axis

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## ASN.3.2 Complex plane

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