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Airy Functions
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Summary
Airy Functions
, denoted as Ai(x) and Bi(x), are special functions that are solutions to the
Differential Equation
y'' - xy = 0, known as the
Airy equation
. These functions are used in various fields such as
Quantum Mechanics
, optics, and
Wave Propagation
, particularly in problems involving
Linear Potential
or
Turning Points
.
Concepts
Differential Equations
Special Functions
Quantum Mechanics
Optics
Wave Propagation
Linear Potential
Turning Points
Asymptotic Analysis
Sturm-Liouville Theory
WKB Approximation
Relevant Degrees
Differential and Integral Equations 70%
Computational Mathematics 30%
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