Gauss hypergeometric function

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:software
gptkbp:alsoKnownAs	gptkb:hypergeometric_function
gptkbp:analyticContinuation	possible for \|z\|>=1
gptkbp:application	mathematical physics number theory partial differential equations statistics
gptkbp:citation	gptkb:Gradshteyn_&_Ryzhik gptkb:Handbook_of_Mathematical_Functions_(Abramowitz_and_Stegun)
gptkbp:convergesTo	\|z\|<1
gptkbp:definedIn	gptkb:hypergeometric_series
gptkbp:domain	complex analysis
gptkbp:generalizes	gptkb:binomial_theorem
gptkbp:hasSpecialCase	gptkb:Gegenbauer_polynomials gptkb:Jacobi_polynomials gptkb:Chebyshev_polynomials gptkb:Bessel_functions gptkb:Hermite_polynomials gptkb:Legendre_functions elementary functions
https://www.w3.org/2000/01/rdf-schema#label	Gauss hypergeometric function
gptkbp:introduced	gptkb:Carl_Friedrich_Gauss
gptkbp:notation	_2F1(a,b;c;z)
gptkbp:parameter	a b c
gptkbp:satisfies	gptkb:hypergeometric_differential_equation
gptkbp:symbol	gptkb:_2F1
gptkbp:variant	z
gptkbp:bfsParent	gptkb:confluent_hypergeometric_function
gptkbp:bfsLayer	7