namaḥ—obeisances; viśuddha-sattvāya—unto You, whose existence is free from all material influence; haraye—who takes away all miserable conditions of devotees; hari-medhase—whose brain works only for the deliverance of the conditioned soul; vāsudevāya—the all-pervading Supreme Personality of Godhead; kṛṣṇāya—unto Kṛṣṇa; prabhave—who increases the influence; sarva-sātvatām—of all kinds of devotees.
Dear Lord, we offer our respectful obeisances unto You because Your existence is completely independent of all material influences. Your Lordship always takes away the devotee’s miserable conditions, for Your brain plans how to do so. You live everywhere as Paramātmā; therefore You are known as Vāsudeva. You also accept Vasudeva as Your father, and You are celebrated by the name Kṛṣṇa. You are so kind that You always increase the influence of all kinds of devotees.
In the previous verse it has been said (gṛhīta-māyā-guṇa-vigrahāya) that the Lord accepts three kinds of bodies (Viṣṇu, Brahmā and Śiva) for the purposes of creating, maintaining and annihilating the cosmic manifestation. The three predominating deities of the material universe (Brahmā, Viṣṇu and Śiva) are called guṇa-avatāras. There are many kinds of incarnations of the Supreme Personality of Godhead, and the first incarnations within this material world are Brahmā, Viṣṇu and Maheśvara (Śiva). Out of these three, Lord Brahmā and Lord Śiva accept material bodies, but Lord Viṣṇu does not accept a material body. Lord Viṣṇu is therefore known as viśuddha-sattva. His existence is completely free from the contamination of the material modes of nature. One should therefore not think that Lord Viṣṇu is in the same category with Lord Brahmā and Śiva. The śāstras forbid us to think in this way.
One who considers Lord Viṣṇu to be in the same category with devas like Lord Brahmā or Lord Śiva or who thinks Lord Brahmā and Śiva to be equal to Lord Viṣṇu is to be considered as pāṣaṇḍī (a faithless nonbeliever). Therefore in this verse Lord Viṣṇu is distinguished in the words namo viśuddha-sattvāya. Although a living entity like us, Lord Brahmā is exalted due to his pious activities; therefore he is given the high post of Brahmā. Lord Śiva is not actually like a living entity, but he is not the Supreme Personality of Godhead. His position is somewhere between Viṣṇu, the Supreme Personality of Godhead, and Brahmā, the living entity. Lord Śiva is therefore explained in Brahma-saṁhitā (5.45) in this way:
Lord Śiva is considered to be like yogurt (dadhi). Yogurt is nothing but transformed milk; nonetheless, yogurt cannot be accepted as milk. Similarly, Lord Śiva holds almost all the powers of Lord Viṣṇu, and he is also above the qualities of the living entity, but he is not exactly like Viṣṇu, just as yogurt, although transformed milk, is not exactly like milk.
The Supreme Personality of Godhead is also described herein as vāsudevāya kṛṣṇāya. Kṛṣṇa is the original Supreme Personality of Godhead, and all Viṣṇu expansions are His plenary portions or portions of His plenary portions (known as svāṁśa and kalā). The svāṁśa, or direct expansion, is also called aṁśa. All viṣṇu-tattvas are svāṁśa, direct parts and parcels of the Supreme Personality of Godhead, Kṛṣṇa. Kṛṣṇa is known as Vāsudeva because He appeared in this material world as the son of Vasudeva. Similarly, He is known as Devakī-nandana, Yaśodā-nandana, Nanda-nandana and so on.
Again and again the Lord is very much interested in increasing the influence of His devotees. Therefore He is described herein as prabhave sarva-sātvatām. The sātvata community is a community of Vaiṣṇavas, pure devotees of the Lord. The Supreme Personality of Godhead has unlimited powers, and He wants to see that His devotees are also entrusted with unlimited powers. A devotee of the Lord is always, therefore, distinguished from all other living entities.
The word hari means “one who takes away all miserable conditions,” and hari-medhase means that the Lord is always planning ways to deliver the conditioned soul from the clutches of māyā. The Lord is so kind that He personally incarnates to deliver the conditioned souls, and whenever He comes, He makes His plans.
“To deliver the pious and to annihilate the miscreants, as well as to reestablish the principles of religion, I advent Myself millennium after millennium.” (Bg. 4.8)
Since the Lord delivers all conditioned souls from the clutches of māyā, He is known as hari-medhas. In the list of incarnations, Kṛṣṇa is described as the supreme and original Personality of Godhead.
Kṛṣṇa, the original Personality of Godhead, appears in this material world when the demigods, who are devotees of the Lord, are disturbed by the demons.
Link to this page: https://prabhupadabooks.com/sb/4/30/24