# Psi (letter)

twenty-third letter of the Greek alphabet

Psi (uppercase/lowercase Ψ ψ) is the 23rd letter of the Greek alphabet. It is used to represent the "ps" sound in Ancient and Modern Greek. In the system of Greek numerals, it has a value of 700. Letters that came from it include Cyrillic Ѱ.

In mathematics, the uppercase ${\displaystyle \Psi }$ is used as a variable for sets of sentences (in logic), and the lowercase ${\displaystyle \psi }$ is used to represent the sum of reciprocals of Fibonacci numbers.[1] Other applications include the polygamma function, the gamma function and the super golden ratio.[2]

## References

1. "Greek/Hebrew/Latin-based Symbols in Mathematics". Math Vault. 2020-03-20. Retrieved 2020-10-07.
2. "Psi Symbol in Greek Alphabet". www.greeksymbols.net. Retrieved 2020-10-07.