Package org.drip.specialfunction.group

Special Function Singularity Solution Group

Author:

Lakshmi Krishnamurthy

Class Summary

Class	Description
FuchsianEquation	FuchsianEquation holds the Isomorphic Order, Coexter Singularity Index, and the Klein-4 Transformations of the 2F1 Regular Hyper-geometric Function.
FundamentalGroupPathExponent2F1	FundamentalGroupPathExponent2F1 holds the Exponents of the Monodromy Loop Paths around the Singular Points 0, 1, and Infinity.
Kummer24	Kummer24 contains the Isomorphic Klein-4 Group of the Transformations built out of the Solutions emanating from the Singularities of the Hyper-geometric 2F1 Function.
MonodromyTransform2F1	MonodromyTransform2F1 builds out the Monodromy Loop Solution Transformation Matrices for Paths around the Singular Points.
RiemannSphereSpanner	RiemannSphereSpanner determines the Conformality and Tile Scheme of the Schwarz Singular Triangle Maps over the Riemann Sphere.
RiemannSphereSpanner2F1	RiemannSphereSpanner determines the Conformality and Tile Scheme of the Schwarz Singular Triangle Maps over the Riemann Sphere composed of the 2F1 Solutions.
SchwarzChristoffelVertex	SchwarzChristoffelVertex holds the Mobius Form of the s-Function and its Singularity Asymptote.
SchwarzTriangleMap	SchwarzTriangleMap contains the Ratio of the Linearly Independent Solution pair corresponding to a given Singularity of the Hyper-geometric 2F1 Function.