> 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)

p

-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)

p

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)

p

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)

p

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)

p

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)

p

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)

p

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..????