Calculus of Finite Differences

according alternate apply approximation arbitrary argument binomial coefficient Calculus coefficients computation conclude consequence considered constant containing convergent corresponding decimals deduce definition denote derivative determine difference equation digamma function easy equal to zero error Euler Example expansion expression factorial figuring Finally Finite follows formula function f(x given gives Hence increases indefinite sum independent instance integral interpolation interval introduced inverse later less limits linear manner mean method moreover multiplying negative Newton's notation numbers obtain operation particular performed permutation points polynomial polynomial of degree positive possible power series preceding probability problem Putting quantity remainder Remark repeated respect result roots satisfied second kind second member seen solution solved Starting step Stirling numbers summation suppose symbolical term tion variable write written