手招き[temaneki] beckoning
手招く[temaneku] to beckon
招き[maneki] invitation
招き猫[manekineko] beckoning cat
招く[maneku] to invite

招集[shoushuu] calling or convening (a meeting, assembly, congress)
招待[shoutai] invitation
招待券[shoutaiken] complimentary ticket
招待状[shoutaijou] written invitation
招致[shouchi] invitation

使聘[shihei] exchange of diplomatic representatives
招聘[shouhei] (courteous) invitation

傭聘[youhei] employing
招聘理由書[shouheiriyuusho] invitation letter (e.g. document in support of a visa to enter Japan)