9151e8df-f793-41e3-9ba1-c4ef03645b2f 11 3 5 decimal

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

Plot these two capricious integrals

1. They both plot on the canvas and support the constrained c(x). 2. They don't plot as you wish, Explain => they plot/re-plot on the native canvas and, you can shrink/expand either directions, but CAN'T shift in either direction. On replot [red] 't' not defined 3. If you want γ(a,x) @ higher accuracy: => integral accuracy 1000 4. Both integrals support discrete plot => shrink/expand/shift in either directions. 5. Both integrals evaluate wrt their limit of integration.

t0 1 time :

Computes 7 decimals  ... a≥1
Plots on native canvas
Plots discrete as well ...  a≥1
Mathcad computes/plots any 'a' a x γ t a 1 -^t - exp * t 1012 -^x int :

7 decimals expected  ... a≥0
Γ(a,x) upper limit 100 is specific
to Smath  ... from built-in ?
Plots on native canvas only. a x Γ t a 1 -^t - exp * t x 100 int :

limit 10 : x c 0 x ≤ (x limit ≤ (* : 21 line

50 Γ 23.999

1 x γ x c * 2 x γ x c * 2 1 sys 0.5 x Γ x c * 1 x Γ x c * 2 x Γ x c * 3 1 sys 5 x Γ 5 0 Γ / x c * 5 x γ 5 limit γ / x c * 2.5 x γ x c * 1 3 1 sys

2.5 π γ 0.5 π Γ 21 mat 0.958 0.022 21 mat

1 time t0 - min 1.8

t a 1 -^t - exp * t int maple t 2 - a + 2 /^t 2 / - exp * t a 2 / 1 a + 2 / t WhittakerM * 2 a + 2 / 1 a + 2 / t WhittakerM 1 a + (* + (* a 1 a + (* /

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