EMA exponential smoothed moving average

EXPMA (exponential moving Average) translates exponential smoothed moving average, referred to as EMA,

The average day price X's N daily exponential smoothed moving averages, in the stock formula is generally expressed as: EMA (X,n), where X is the closing price of the day, N is the number of days. Its true formula expression is: the day exponential mean = smoothing coefficient * (Day index value-yesterday index average) + yesterday index average, smoothing coefficient =2/(period unit +1), deduced from the above formula, obtained: EMA (N) =2*x/(n+1) + (N-1) *ema (N-1)/(n+ 1);

But the premise of this formula is to know the EMA of the previous day, if it is known the price of N days, I would like to ask for a continuous N-day EMA, how to calculate the EMA according to the n price? The formula is obtained according to the inductive calculation as follows:

EMA exponential smoothed moving average