To get sum over partition by Teradata you can use the aggregate function SUM and PARTITION BY on a required column.
Query to find Teradata cumulative sum of balance per account ordered by transaction date.
SELECT acct_number, trans_date, trans_amount,
SUM(trans_amount) OVER (PARTITION BY acct_number
ORDER BY trans_date
ROWS UNBOUNDED PRECEDING) as balance
FROM ledger
ORDER BY acct_number, trans_date;
Results of the preceding SELECT of Teradata cumulative sum:
acct_number trans_date trans_amount balance
73829 1998-11-01 113.45 113.45
73829 1988-11-05 -52.01 61.44
73929 1998-11-13 36.25 97.69
82930 1998-11-01 10.56 10.56
82930 1998-11-21 32.55 43.11
82930 1998-11-29 -5.02 38.09
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