Double summation symbols sharing the same subscript in LaTeX

The command \mathop enables two sum symbols to share the same subscript as follows.

\[
\mathop{\sum\sum}_{i \neq j} a_i * b_j
\]

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Sum (sigma symbols) in LaTeX

Symbol | Command --- | --- $\sum$ | \sum $\sum_{n=1}$ | \sum_{n=1} $\sum_{n=1}^{\infty}$ | \sum_{n=1}^{\infty}

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LaTeX command mathclap in mathtools package removes spaces between sum symbol and equation

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The expressions of fraction containing a summation in the display and inline modes are slightly different like the below.

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Two lines subscript in summation symbol - LaTeX

The command `substack` in `amsmath` package enables summation subscripts to be multi lines.

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