Appell Hypergeometric Function
A formal extension of the Hypergeometric Function to two variables, resulting in four kinds of functions(Appell 1925),
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Appell defined the functions in 1880, and Picard showed in 1881 that they may all be expressed byIntegrals of the form
References
Appell, P. ``Sur les fonctions hypergéométriques de plusieurs variables.'' In Mémoir. Sci. Math. Paris: Gauthier-Villars, 1925. Bailey, W. N. Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press, p. 73, 1935. Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1461, 1980.
- Foliation
- Folium
- Folium of Descartes
- Follows
- Fontené Theorems
- Foot
- For All
- Forcing
- Ford Circle
- Ford's Theorem
- Forest
- Fork
- Form
- Formal Logic
- Form (Geometric)
- Formosa Theorem
- Form (Polynomial)
- Formula
- Fortunate Prime
- Forward Difference
- Fountain
- Four Coins Problem
- Four-Color Theorem
- Fourier-Bessel Series
- Fourier-Bessel Transform