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#1 2024-02-24 23:54:43

lanxiyu
Member
Registered: 2022-05-10
Posts: 48

Lemniscate functions

Notations:





Specific values:


















Differential equations:












Pythagoras-like identities:




Opposite angle identities:





Double angle identities:





Triple angle identities:



Half angle identities:





Angle sum and difference identities:





Translation by real quarter-periods:





Translation by imaginary quarter-periods:





Translation by real half-periods:





Translation by imaginary half-periods:





Quarter-turn rotations:





Multiplied by (1±i):





Divided by (1±i):



Indefinite integrals:




















Definite integrals:


Inverse functions:











Last edited by lanxiyu (2024-03-25 14:33:24)

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