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Concise formulary

1      Q0 triangle

2      Q1 triangle

3      Q0M triangle

4      Taylor series expansions

5      Limits

6      Multiple discrete differentiation (Formation of higher-order finite differences)

6.1      Binomial coefficients and multiple differentiation (example matrix)

7      Special differences

7.1      Schrödinger discretely

8      Scalar products

8.1      horizontal

8.2      vertical

8.3      Orthogonality after multiple discrete differentiation (analogously to Hermite polynomials)

9      Sums

10      Moments

10.1      vertical

10.2      horizontal

10.2.1    relative to the border

11      Sums and moments for variable p

11.1      Sums

11.2      Deviation relative to the border

11.3      Deviation relative to the origin

12      Analytic representations

12.1      Schrödinger analytically

12.2      Behavior for n-> inf; Dirac delta-function

12.3      Multiple differentiation and Hermite polynomials