The standard Airy functions solve the Airy ordinary differential equation. Their Wronskian is , so they form a fundamental solution pair, including for complex .
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The Airy function is a special function that arises in various contexts within mathematics and physics, particularly in problems involving differential equations associated with quantum mechanics and wave propagation. The Airy functions are denoted as \( \text{Ai}(x) \) and \( \text{Bi}(x) \), where: - \( \text{Ai}(x) \) is the Airy function of the first kind.