Hypergeometric function ₂ F₁ (a,b,c,x) is defined as

Hypergeometric function is a solution of hypergeometric differential equation

Hypergeometric function is a generalization of a series of elementary and special functions. Bessel functions, incomplete gamma function, elliptic integrals and orthogonal polynomials are particular cases of hypergeometric function. Many elementary functions could be written by using the hypergeometric function, for example:

Hypergeometric2F1 subroutine calculates hypergeometric function for real x in (-1,1).

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C#

C# 1.0 source.
hyper2f1.csharp.zip - Hypergeometric function 2F1

C++

C++ source.
hyper2f1.cpp.zip - Hypergeometric function 2F1
ablas.zip - optimized basic linear algebra subroutines with SSE2 support (for C++ sources only)

Delphi

Delphi source.
Can be compiled under FPC (in Delphi compatibility mode).
hyper2f1.delphi.zip - Hypergeometric function 2F1

Visual Basic 6

Visual Basic 6 source.
hyper2f1.vb6.zip - Hypergeometric function 2F1

Zonnon ^beta

Zonnon source.
Zonnon is an experimental language developed at ETH Zurich.
See www.zonnon.ethz.ch for more information.
hyper2f1.zonnon.zip - Hypergeometric function 2F1