Dattatreya Jayanti is celebrated on the full moon day of Margashirsha month. Lord Dattatreya is considered an incarnation of Lord Vishnu. So in line with some beliefs, they're considered to be the type of Lord Shiva. It's stated that Lord Dattatreya reaches his devotees only by remembering them, so they're also known as commemorative.
According to beliefs, Dattatreya acquired education from 24 Gurus and it was in his name that the Dutt community emerged. He also has a famous temple in South India. It's believed that the one that observes fast on this birth anniversary and worships them, all his needs are fulfilled.
It is also stated that Lord Dattatreya Brahma, Vishnu, and Shiva are one of the three forms. Therefore, Tridev turns into happy with their worship.
Worship of Lord Dattatreya:
To worship Lord Dattatreya, install his statue in the temple of the home or in some holy place. Offer them yellow flowers and yellow things. After this, chant their mantras. The mantras are as follows 'Dranda Dattatreya Swaha' and the second mantra 'Om Mahanthai Namah'. After chanting mantras, pray to God for the fulfillment of your needs. If possible, keep fast on this day.Story of the birth of Lord Dattatreya:
According to the legend, once the three goddesses became pleased with their Sativa, the husband faith. Then Lord Vishnu created Leela. Then Narada Ji visited all of the three worlds and praised Anasuya's virtuous religion before Goddess Saraswati, Lakshmi, and Parvati. On this, the three goddesses stubbornly asked their husbands to test Anusuya's husband's religion.Then Trudev disguised as a Brahmin, reached the ashram of Maharishi Atri, then Maharishi Atri was not at home. Seeing the three Brahmins, Anasuya went to them. When she proceeded to pay respect to these Brahmins, these Brahmins stated that they might not accept their hospitality till they would sit and feed them on their lap.
Anasuya became worried about his condition. Then he came to know the truth of those Brahmins along with his tapobal. After remembering Lord Vishnu and her husband Atri, she stated that if her husband's religion is true, then all three Brahmins should grow to be 6-month-old infants. Anasuya made the Tridevas infants along with his Tapobal.
All three started crying as infants. Then Ansuya took them into his lap and made them milk and put all of them in the cradle. However, the three goddesses were worried about their husbands not coming again. Then Narada Ji instructed him the entire incident. After this, the three goddesses have been very sorry for what that they had done. These three goddesses apologized to Anasuya and requested to bring their husbands to the original form.
Then Anasuya re-instated these three infants as her predecessors from her Tapobal. Then Tridev asked him to ask for the bride, then Anasuya requested for the groom to get those three gods in the form of a son. Tridev gave him a boon and went to his abode.
Later, Lord Vishnu was born as Lord Vishnu Dattatreya, Lord Shiva Durvasa, and Brahma Moon from the womb of Mother Anasuya. Someplace it is also learned that after attaining the groom, Lord Dattatreya appeared within the single form of Trideva from the womb of Mata Anasuya, therefore, it's stated that worshiping Lord Dattatreya brings blessings of the trinity.