SOLUTION: Please sir , send me the value or method to find the value of the following summation. sum of ( a^n * b^n ) / (n !

Question 42050: Please sir , send me the value or method to find the value of the following summation.

sum of ( a^n * b^n ) / (n ! )2

here a and b are non negative real constants and summation is over n where n varies 0 to infinity.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!

Similarly,

Multiplying (1) and (2) we have
= (

) (

)

or = (

) (

)

Now, let us find the coefficient of in left side.
This is
[

]

Again, coefficient of in the expansion of is .
Therefore we can write
=

Perhaps this is the expression you want.
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