<p> Γ(x) [15 D] Alvaro Same otherwise </p>

f933465c-c711-42b6-9575-6399486ef2c6 15 4 5 decimal

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

f k subs k f * f 3.3^ln * :

Vectorise Diagonal Mat Dia i 1 Mat rows range Dia i el Mat i i el : for Dia 21 line :

r 13 /^2 subs 11 r 3 nthroot * r ln * 5 /

Mapping an expression

The matrix function

Ω 45 φ matrix maple :

M a 1 e x y * 22 mat :

ln M map maple a ln 01 x y * ln 22 mat

<= The times table x y φ x y * :

m a 1 e x y * 41 mat :

ln m map maple a ln 01 x y * ln 41 mat

Ω 1234524681036912154812162045 mat

Ω 3 row 369121515 mat

Ω 3 col transpose 3691214 mat

m a 1 e x y * 41 mat :

f 2^m map maple a f 2^1 f 2^1 exp f 2^x y * f 2^41 mat

Smath  built-in Ω Diag 10000040000090000016045 mat

algo
above Ω Dia 1491641 mat

Smath index style A B r c replace U A : i 1 B rows range j 1 B cols range U r i + 1 - (c j + 1 - (el B i j el : for for U 31 line :

M 77 matrix :

user 1234 x ln 678 x exp 33 mat :

x New M user 33 replace :

x New 000000000000000012300004 x ln 6000078 x exp 000000000000000077 mat

<p> Γ(x) [15 D] Alvaro Same otherwise </p>

Γ 0.99999999999999709182 57.156235665862923517 59.597960355475491248 - 14.136097974741747174 0.49191381609762019978 - 0.33994649984811888699 104 -^* 0.46523628927048575665 104 -^* 0.98374475304879564677 104 -^* - 0.15808870322491248884 103 -^* 0.21026444172410488319 103 -^* - 0.21743961811521264320 103 -^* 0.16431810653676389022 103 -^* - 0.84418223983852743293 104 -^* 0.26190838401581408670 104 -^* - 0.36899182659531622704 105 -^* 151 mat :

x Γ z x 1 - : zh z 0.5 + : zg zh 607128 / + : zp zg 0.5 zh *^: 14 mat 2 π * sqrt Γ 1 el Γ κ 1 + el z κ + / κ 114 sum + (* zp 2^* zg - exp * eval 21 line :

Valid for Re(ζ)>0

x y f a x 2^y 2^+ (- b / exp * :

Implicit parametric x y f Sym local x y f : 11 line :

a 100 :

b 1 :

N x y f Sym : 100 x 2^y 2^+ (- exp *

x 0 :

y 0 :

N 100

x Clear 1

x y N x y f Sym :

22 - 22 - 010016 mat

x fnct Q local x fnct : 11 line :

x fnct x Γ :

expr x fnct Q :

x 1.23456789 :

expr 0.9097