88e62578-0f72-48f1-8441-e804a11ea658 20 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Gamma(x) ... Not very happy

http://keisan.casio.com/exec/system/1180573447

Computes 7 decimals  ... a≥1
but => does not plot canvas
plots discrete only ...  a≥1
Mathcad computes/plots any 'a' a x γ t a 1 -^t - exp * t 0 x int :

Not to avail t Clear 1

7 decimals expected  ... a≥0
Γ(a,x) upper limit 100 is specific
to Smath  ... unexplainable ??? a x Γ t a 1 -^t - exp * t x 100 int :

both tabulate/plot for a≥1

t0 1 time :

a 1 :

Optimiz: Symbolic γax x 05 0.05 range : i 1 x rows range γ i el a x i el γ eval : for x γ augment 31 line :

Optimiz: Symbolic` Γax x 05 0.05 range : i 1 x rows range γ i el a x i el Γ eval : for x γ augment 31 line :

γax Γax 2 1 sys

1 time t0 - min 0.1

13 γ 0.5 3 Γ 21 mat 0.9502129 0.0253717 21 mat

11 γ 0.632

0.5 1 γ #

Gamma(π) => 7 decimals

π 1 γ π 1 Γ + 2.288196339

Can't explain:

1. γ(a,x) does Not plot on canvas [whatever 'a']

2. Γ(a,x) integrator => strictly upper limit 100

3. "t not defined" ... Smath does not interpret ?

4. Does not solve either !

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π Gamma 2.28804133935697

<= Smath

π Γ 2.28803779534003 ≡

<= Mathcad

Strictly = 1 11 γ 11 Γ + 1.000119213

X 10 :

Gamma distributions

X x GammaRegularized.P X x GammaRegularized.Q 2 1 sys

π 1 GammaRegularized.P π 1 GammaRegularized.Q 21 mat 0.066 0.934 21 mat

The extended Γ(x)

x myG x Γ x Gamma : x 0 ≥ x Γ π x abs 1 + (* x abs 2 + Γ π x abs 1 + (* sin * / if 21 line :

This function is a recast from Gilberto E. Urroz Works for in-situ calculations. Tabulate wisely 2escape singularities.

X 2.875 - :

Y X myG :

Y 1.5973 -

XY X Y + 20 red 15 mat :

x y 2 :

x myG x y 2 1 sys

x myG x y - 0 ≡ x 05 solve #