InterpolatingPolynomial

InterpolatingPolynomial[{f1,f2,…},x] constructs an interpolating polynomial in x which reproduces the function values fi at successive integer values 1, 2, … of x. 

InterpolatingPolynomial[{{x1,f1},{x2,f2},…},x] constructs an interpolating polynomial for the function values fi corresponding to x values xi.

InterpolatingPolynomial[{{{x1,y1,…},f1},{{x2,y2,…},f2},…},{x,y,…}] constructs a multidimensional interpolating polynomial in the variables x, y, ….

InterpolatingPolynomial[{{{x1,…},f1,df1,…},…},{x,…}] constructs an interpolating polynomial that reproduces derivatives as well as function values.

Please visit the official Wolfram Language Reference for more details and examples on core symbols.