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Qué (quién) es hypergeometric coefficient - definición
EQUALITIES INVOLVING SUMS OVER THE COEFFICIENTS OCCURRING IN HYPERGEOMETRIC SERIES
Hypergeometric identities; Hypergeometric term
Hypergeometric function
 with a=2 and b=3 and c=4 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200)
SPECIAL FUNCTION DEFINED BY A HYPERGEOMETRIC SERIES
Schwarz s-map; Euler hypergeometric integral; Gauss's hypergeometric theorem; Hypergeometric equation; Hypergeometric; Hypergeometric functions; Gauss hypergeometric theorem; Gauss hypergeometric function; Kummer's formula; Kummer's quadratic transformation; Hypergeometric differential equations; Hypergeometric differential equation; Hypergeometric series; Gaussian hypergeometric series; Gauss's hypergeometric series; 2F1; Gauss's summation theorem; Gaussian hypergeometric function
In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases. It is a solution of a second-order linear ordinary differential equation (ODE).
Basic hypergeometric series
Q-ANALOG OF HYPERGEOMETRIC SERIES
Hypergeometric q-series; Basic hypergeometric function; Basic bilateral hypergeometric series; Q-hypergeometric function; Q-hypergeometric series; Heine function; Heine functions
In mathematics, basic hypergeometric series, or q-hypergeometric series, are q-analogue generalizations of generalized hypergeometric series, and are in turn generalized by elliptic hypergeometric series.
Confluent hypergeometric function
 with a=1 and b=2 and input z² with 1F1(1,2,z²) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1.svg?width=200 "Plot of the Kummer confluent hypergeometric function 1F1(a;b;z) with a=1 and b=2 and input z² with 1F1(1,2,z²) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1")
SOLUTION OF A CONFLUENT HYPERGEOMETRIC EQUATION
Confluent hypergeometric functions; Kummer's series; Confluent hypergeometric series; Kummer series; Confluent hypergeometric equation; Kummer U function; 1F1; Tricomi Confluent hypergeometric function; Tricomi confluent hypergeometric function; Tricomi hypergeometric function; Tricomi function; Degenerated hypergeometric function; Kummer's equation
In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity. The term confluent refers to the merging of singular points of families of differential equations; confluere is Latin for "to flow together".
Wikipedia
Hypergeometric identity
In mathematics, hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. These identities occur frequently in solutions to combinatorial problems, and also in the analysis of algorithms.
These identities were traditionally found 'by hand'. There exist now several algorithms which can find and prove all hypergeometric identities.
