MATLAB Implementation for Computing Confluent Hypergeometric Functions
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Resource Overview
A MATLAB function for calculating confluent hypergeometric functions with direct parameter substitution. The implementation demonstrates numerical equivalence with Mathematica's computation results through cross-validation.
Detailed Documentation
This MATLAB function provides a computational implementation for evaluating confluent hypergeometric functions. The function features straightforward usage - simply substitute the corresponding parameter values into the function call. The implementation employs series expansion methods with convergence control mechanisms to ensure numerical stability. Our verification process involved comprehensive comparison with Mathematica's computational results, confirming perfect numerical agreement across various test cases. While the accuracy has been rigorously validated, users should pay attention to parameter range limitations and function applicability conditions to avoid unexpected results. The code includes proper error handling for boundary cases and implements efficient recursion relations for optimal performance.
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