# DBI.1 Introduction

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

DBI.1.1

Although is a singularity of DBI.1.1, the initial conditions can be given by

 DBI.1.2

Related function: Derivative of Airy Ai

# DBI.2 Series and asymptotic expansions

## DBI.2.1 Asymptotic expansion at

### DBI.2.1.1 First terms

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where

### DBI.2.1.2 General form

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where The coefficients satisfy the following recurrence whose initial conditions are given by This recurrence has the closed form solution

## DBI.2.2 Asymptotic expansion at

### DBI.2.2.1 First terms

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 DBI.2.2.1.1

### DBI.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).

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