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Explicit Analytical Representations for the Schwarzschild Radial Equation via Hypergeometric and Frobenius Expansions
The massive Klein-Gordon equation on the Schwarzschild exterior reduces to a radial differential equation of confluent-Heun type. We present its exact reduction by rigorously retaining a subleading centrifugal term that preserves the horizon indicial exponents but critically shifts the accessory par
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