Al-jawab billahi at-taufeeq (the answer with Allah's guidance)
The usual Adhaan should be recited.
Hadhrat Abu Raafe (Radhiallalhu Ta'ala Anhu) recounts an act of the Holy Prophet's (Sallallahu Alaihi Wasallam), and describes thus;
"I witnessed the Holy Prophet (Sallallahu Alaihi Wasallam) reciting the Adhaan (Call to prayer) to Hadhrat Hasan ibn Ali (Radhiallalhu Ta'ala Anhu) when his daughter Fatima (Radhiallalhu Ta'ala Anha) gave birth to him." (Tirmidhi, Musnad Ahmad)
The Adhaan should be given in the right ear of the new born and Iqaamat in the left ear. (Shaami vol.1 pg.385; HM Saeed)