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Scheduled Incarnations with Specific Functions
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atreḥ —of the sage Atri;  apatyam —issue;  abhikāṅkṣataḥ —having prayed for;  āha —said it;  tuṣṭaḥ —being satisfied;  dattaḥ —given over;  mayā —by me;  aham —myself;  iti —thus;  yat —because;  bhagavān —the Personality of Godhead;  saḥ —He;  dattaḥ —Dattātreya;  yat-pāda —one whose feet;  paṅkaja —lotus;  parāga —dust;  pavitra —purified;  dehāḥ —body;  yoga —mystic;  ṛddhim —opulence;  āpuḥ —got;  ubhayīm —for both the worlds;  yadu —the father of the Yadu dynasty;  haihaya-ādyāḥ —and others, like King Haihaya.
TRANSLATION
The great sage Atri prayed for offspring, and the Lord, being satisfied with him, promised to incarnate as Atri's son, Dattātreya [Datta, the son of Atri]. And by the grace of the lotus feet of the Lord, many Yadus, Haihayas, etc., became so purified that they obtained both material and spiritual blessings.
PURPORT
Transcendental relations between the Personality of Godhead and the living entities are eternally established in five different affectionate humors, which are known as  śānta ,  dāsya ,  sakhya ,  vātsalya  and  mādhurya . The sage Atri was related with the Lord in the affectionate  vātsalya  humor, and therefore, as a result of his devotional perfection, he was inclined to have the Personality of Godhead as his son. The Lord accepted his prayer, and He gave Himself as the son of Atreya. Such a relation of sonhood between the Lord and His pure devotees can be cited in many instances. And because the Lord is unlimited, He has an unlimited number of father-devotees. Factually the Lord is the father of all living entities, but out of transcendental affection and love between the Lord and His devotees, the Lord takes more pleasure in becoming the son of a devotee than in becoming one's father. The father actually serves the son, whereas the son only demands all sorts of services from the father; therefore a pure devotee who is always inclined to serve the Lord wants Him as the son, and not as the father. The Lord also accepts such service from the devotee, and thus the devotee becomes more than the Lord. The impersonalists desire to become one with the Supreme, but the devotee becomes more than the Lord, surpassing the desire of the greatest monist. Parents and other relatives of the Lord achieve all mystic opulences automatically because of their intimate relationship with the Lord. Such opulences include all