Finite Sum
- To: mathgroup at smc.vnet.net
- Subject: [mg43967] Finite Sum
- From: Ratna Bandila <choppalaks at yahoo.com>
- Date: Thu, 16 Oct 2003 04:16:01 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi, I am unable to find the closed-form expression for Sum[1/(m1!*m2!*m3!)^2],where m1+m2+m3=n Mathematica does gives the result for Sum[1/(m1!*m2!)^2],where m1+m2=n as (4^n*Gamma[n+(1/2)])/(Sqrt[pi]*Gamma[n+1]^3]) It also gives the closed-form formula for Sum[1/(m1!*m2!*m3!)],where m1+m2+m3=n Sum[1/(m1!*m2!*m3!*m4!)],where m1+m2+m3+m4=n Sum[1/(m1!*m2!*m3!*m4!*m5!)],where m1+m2+m3+m4+m5=n ....and so on. Kindly help if anyone has come across the expression. Thanks Ratna __________________________________ Do you Yahoo!? The New Yahoo! Shopping - with improved product search http://shopping.yahoo.com