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

lanxiyu
Member
Registered: 2022-05-10
Posts: 55

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 (2024-11-27 01:37:05)

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