Interpolation on Gauss hypergeometric functions with an application
Copyright policy )Interpolation on Gauss hypergeometric functions with an application
In this paper, we use some standard numerical techniques to approximate the hypergeometric function $$ {}_2F_1[a,b;c;x]=1+\frac{ab}{c}x+\frac{a(a+1)b(b+1)}{c(c+1)}\frac{x^2}{2!}+\cdots $$ for a range of parameter triples $(a,b,c)$ on the interval $0
To appear in Involve-A Journal of Mathematics, 16 pages
65D05, 65D05, 33B15, 33B20, 33C05, 33F05, 33B20, 33B15, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), hypergeometric function, 33C05, error estimate, Numerical Analysis (math.NA), interpolation, Classical hypergeometric functions, \({}_2F_1\), gamma function, Numerical interpolation, 33F05, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical approximation and evaluation of special functions, Gamma, beta and polygamma functions
65D05, 65D05, 33B15, 33B20, 33C05, 33F05, 33B20, 33B15, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), hypergeometric function, 33C05, error estimate, Numerical Analysis (math.NA), interpolation, Classical hypergeometric functions, \({}_2F_1\), gamma function, Numerical interpolation, 33F05, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical approximation and evaluation of special functions, Gamma, beta and polygamma functions
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