Dattatreya Mantra

Dattatreya is considered as incarnation of the Divine Trinity, Brahma-Vishnu-Maheshwara. The word Datta means "Given," given in the form of a son to the sage couple Atri and Anasuya. He is the son of Atri, hence "Atreya."

Once Brahma-Vishnu-Maheshwara went to Anasuya (wife of great sage Atri) requesting alms. When she agreed to do so, they asked her to serve the food without wearing clothes. Since appearing naked in front of other men will reduce her Pativritya (devotion to her husband), by the power she had she made them children and then breastfed them. These children, then became Soma (Brahma), Vishnu (Dattatreya), Shiva (Durvasas) and then Dattatreya stayed with his parents and considered as Trigunatmaka (containing the character of Trinity, Brahma-Vishnu-Maheshwara).

Dattatreya Mantra
Dhyana: 

Brahmanandam Brahma Mukundam bhagavantham

Brahmajnaanam Sathyamanatham Bhaavaroopam

Poornam Chidhghana Panchamakandam Shivaroopam

Dattatreyam Shri Gururoopam Shivaroopam


Om Shaanthaakaaram Sheshashayanam Suravandhyam

Kaanthaanaatham Komalagaathram Kamalaaksham

Chintaarathnam chidhghanapoornam dwijaraajam

Dattatreyam Shri Gurumoorthim Pranathosmi

(meditate on the picture of Dattatreya)
Mantra:
Om Aaam Hreem Krom Ehi Dattatreya Swaaha