## 30 Reputation

9 years, 346 days

## limit evaluation...

MaplePrimes

> restart:
> m:=2; k:=1.0931; a:=k-m; b:=k+m-1;
m := 2
k := 1.0931
a := -0.9069
b := 2.0931
> z:=(k*m)/10^(0.1*10);
z := 0.2186200000
> simplify(((10^(0.1*yo))^((b-a+2*p-1)/2)*z^((b-a+2*p+1)/2)*GAMMA((1-(b-a+2*p))/2))/(p!*GAMMA(p-a+1)*GAMMA(1+((1-(b-a+2*p))/2))));
1 /
---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) exp(
GAMMA(p + 1.906900000)

-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(
\
-1. - 1. p)/
> [seq(limit(.3183098861*sin(3.141592654*p+3.141592654)*exp(-3.040840432-1.520420216*p+.2302585095*yo)*(exp(.2302585095*yo))^p*GAMMA(-1.-1.*p)/GAMMA(p+1.906900000),p=k),k=0..10)]
Warning, inserted missing semicolon at end of statement, ...=k),k=0..10)];
[ / 1 /
[limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654)
[ \GAMMA(p + 1.906900000)

exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 /
GAMMA(-1. - 1. p)/, p = 0|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 1|,
/

/ 1 /
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654)
\GAMMA(p + 1.906900000)

exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 /
GAMMA(-1. - 1. p)/, p = 2|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 3|,
/

/ 1 /
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654)
\GAMMA(p + 1.906900000)

exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 /
GAMMA(-1. - 1. p)/, p = 4|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 5|,
/

/ 1 /
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654)
\GAMMA(p + 1.906900000)

exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 /
GAMMA(-1. - 1. p)/, p = 6|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 7|,
/

/ 1 /
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654)
\GAMMA(p + 1.906900000)

exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 /
GAMMA(-1. - 1. p)/, p = 8|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 9|,
/

/ 1 /
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654)
\GAMMA(p + 1.906900000)

exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \]
GAMMA(-1. - 1. p)/, p = 10|]
/]

why the solution is in limit approaches to form??? need to have a closed form expression. any help..????

## numeric range error...

MaplePrimes

 > restart:
 > m:=2; k:=10.1; a:=k-m; b:=k+m-1;

 > z:=(k*m)/10^(0.1*15);

 > yo:=10^(0.1*10);

 > N1:=evalf(sum(((((yo/z)^((b-a+2*p-1)/2))*GAMMA((1-(b-a+2*p))/2))/(p!*GAMMA(p-a+1)*GAMMA(1+((1-(b-a+2*p))/2)))),p=0..10));

Error, (in NumericRange) summand is singular in the interval of summation

 > N2:=evalf(sum(((((yo/z)^((b+a+2*p-1)/2))*GAMMA((1-(b+a+2*p))/2))/(p!*GAMMA(p+a+1)*GAMMA(1+((1-(b+a+2*p))/2)))),p=0..10));

 >
 >
 >

Any help???

## unable to evaluate function to numeric v...

MaplePrimes

 > restart:
 > m:=2; k:=75.11; L:=3; a=k-m*L; b:=k+m*L-1;

 > z:=(k*m)/snr;

 > z1:=z^((b+1)/2);

 > x:=z1/(0.693*GAMMA(m*L)*GAMMA(k));

 > me:=MeijerG([[1-a/2,1+a/2,1+(b+1)/2,1+(b+1)/2],[]],[[1+(b+1)/2],[(b+1)/2]],(1/z));

 > cap:=x*me;

 > with(plots):

Warning, the name changecoords has been redefined

 > plot(cap,snr=1..20);

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

Error, empty plot

 >
 >
 >

Just a begineer in maple and dont know how to rectify this error.

any help..???

## finite summation evaluation...

MaplePrimes

Need to evaluate above summation in maple. For simplicity infinity can be replaced by some constant say 1000.

The value of parameters used are:

alpha=73.11

beta=76.11

E=4.75

help....

## GAMMA and gamma...

MaplePrimes

Hello everyone.

need to know what is the difference between use of GAMMA and gamma in maple.

thanks.

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