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Minor Math Jaxing and formatting + linking to the paper

What is a complementary binomial distribution function $\Phi[a; n,p]$?

I am trying to understand a paper on options titled "OPTION PRICING: A SIMPLIFIED APPROACH" [1]. In it option price is calculated as the expected payoff from the possible states of stock prices by binomial distribution approach.
I am stuck at one step.
What does the following sentences exactly mean?

Now, the latter bracketed expression is the complementary binomial distribution function $\Phi[a; n,p]$. The first bracketed expression can also be interpreted as a complementary binomial distribution function $\Phi[a; n, p’]$.

Thank you in advance.

Bibliography

[1] John C. COX and Stephen A. ROSS and Mark RUBINSTEIN "Option Pricing: A Simplified Approach", Journal of Financial Economics 7 (1979) 229-263. DOI: 10.1016/0304-405X(79)90015-1