AOA... How are you all. I need the answer of the following question.

input in Maple: expand(exp(a+b)+exp(c+b))

output:  exp(a)*exp(b)+exp(c)*exp(b)

and

input in Maple: expand(exp(2a+b)+exp(3c+b))

output:  (exp(a))^2*exp(b)+(exp(c))^3*exp(b)

but i need exp(2a)*exp(b)+exp(3c)*exp(b)

PhD (Scholar)
Department of Mathematics

AOA. I want to plot the graph of the following function 

A new generalized complex representation of Euler gamma function in terms of Dirac delta function, which is

GAMMA(s) = 2*Pi*(sum((-1)^n*Dirac(s+n)/factorial(n), n = 0 .. infinity))

where*s = sigma+i*tau

for differenet values of parameters

AOA... I have facing a problem to edit a figure in MS worl after coping from MAPLE file. Because we my paper is accepted and will publised after minor revesion which given below:

PhD (Scholar)
Department of Mathematics

AOA... Dear when i expand

sum(sum(binomial(n-1, i)*x^(n-i-alpha)*(-a*n)^i*c[n]*GAMMA(n-i+1)/GAMMA(n-i-alpha+1), i = 0 .. n-1), n = ceil(alpha) .. M)

for M=2 and alpha=1/2 its answer is 

-sqrt(x)*c[1]*sqrt(-(1-x)/x)*(2*x-1)/(sqrt(Pi)*(1-x))-(1/4)*c[1]*hypergeom([3/2, 2], [3], 1/x)/(x*sqrt(x*Pi))-(4/3)*x^(3/2)*c[2]*(-(2-x)/x)^(3/2)*(2*x-1)/(sqrt(Pi)*(2-x))+(2/3)*c[2]*hypergeom([3/2, 2], [4], 2/x)/(x*sqrt(x*Pi))

which is very difficulty i want its answer in Gamma form i.e.

2*sqrt(x)*c[1]/sqrt(Pi)+(8/3)*x^(3/2)*c[2]/sqrt(Pi)-4*sqrt(x)*c[2]/sqrt(Pi)

Pl help me

AOA.. I want to generate a matrix for arbitrary value of n