Latin s > Hungarian zs

From: João Simões Lopes Filho
Message: 4475
Date: 2000-10-22

Does anyone know if the change s > zs is regular in Hungarian? It came from Latin to Hungarian? from German to Hungarian?
 
ESAU > E:ZSAV
ISAIAS > JEZSA:JA:S
ISAAC > IZSA:K
JOSEPH > JO:ZSEF
ELISABETH > ERZSE:BET
BLASIUS > BALA:ZS
EUSEBIUS > O"ZSE:B
ROSA > ROZSA
SIGMOND > ZSIGMOND