Confluent hypergeometric function

Version 1.2.0.0 (1.69 KB) by Patrick Mousaw
Solves Kummer's differential equation.
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Updated 13 Jun 2011

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This function estimates the solution to Kummer's differential equation within a specified tolerance. Kummer's differential equation is given by:

x*g''(x) + (b - x)*g'(x) - a*g(x) = 0

The code executes a while loop to calculate the generalized hypergeometric series within a specified tolerance.

Supports inputs of x in the form of a scalar, row vector, or column vector.

Cite As

Patrick Mousaw (2026). Confluent hypergeometric function (https://www.mathworks.com/matlabcentral/fileexchange/29766-confluent-hypergeometric-function), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired: SphericalDistributionsRand

Version Published Release Notes
1.2.0.0

Changed the code to calculate the solution using a while loop to a specified tolerance. The while loop is is both faster and more accurate than the vector multiplication method I was using before.
1.1.0.0

Modified code to be able to handle column vector inputs for x.
1.0.0.0