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Mathematics Wolfram Language Symbolic Computations

[?] Verify a symbolic equality?

Gennaro Arguzzi

Posted 7 years ago

Hello everyone. Is it possible to verify the following identity in Mathematica? Sum[Subscript[b, m] z^(-m), {m, 0, M}]/ Sum[Subscript[a, n] z^(-n), {n, 0, N}] == (Subscript[b, 0]/ Subscript[a, 0]) (Sum[(Subscript[b, m]/Subscript[b, 0]) z^(-m), {m, 0, M}]/ Sum[(Subscript[a, n]/Subscript[a, 0]) z^(-n), {n, 0, N}]) With == the output is not True or False, it's the same as input. Thank you for your help.

Hello everyone. Is it possible to verify the following identity in Mathematica?

Sum[Subscript[b, m] z^(-m), {m, 0, M}]/
  Sum[Subscript[a, n] z^(-n), {n, 0, N}] == (Subscript[b, 0]/
    Subscript[a, 
     0]) (Sum[(Subscript[b, m]/Subscript[b, 0]) z^(-m), {m, 0, M}]/
    Sum[(Subscript[a, n]/Subscript[a, 0]) z^(-n), {n, 0, N}])

With == the output is not True or False, it's the same as input.

Thank you for your help.

POSTED BY: Gennaro Arguzzi