"In 1924, Herman Collitz suggested there might be a common Proto-Indo-European connecting Pūshān to Pan and Faunus. This root has been suggested to be *Peh2uson. (Wkipedia - Pan/Pushān). Pan is the son of Hermes and Penelope. Pūshān is the son of an Aditya (Sun).
"Pūshān (pronounced 'Pūkhā') was responsible for marriages, journeys, roads, and the feeding of cattle. He was a psychopomp, conducting souls to the other world. He protected travelers from bandits and wild beasts, and protected men from being exploited by other men. He was a supportive guide, a "good" god, leading his adherents towards rich pastures and wealth. He carried a golden lance, a symbol of activity. Traditionally, the name of the deity is said to be derived from Sanskrit verb, 'pushyati', which means "cause to thrive". So, his name means, "one who causes people to thrive.""
"Pan is the god of the wild, shepherds and flocks, nature of mountain wilds, hunting and rustic music, and companion of the nymphs. His name originates within the Ancient Greek language, from the word paein (πάειν
, meaning "to pasture." He has the hindquarters, legs, and horns of a goat, in the same manner as a faun or satyr. With his homeland in rustic Arcadia, he is also recognized as the god of fields, groves, and wooded glens; because of this, Pan is connected to fertility and the season of spring."
"Swasti nah Indrah vriddhashravāh, Swasti nah Pūshā Vishwavedāh;
Swasti Nah Trakshyah arishtanemih, Swasti nah Brihaspatih dadhātu."
May Indra (who is) extolled in the scriptures, Pūshān the all-knowing, Trakshya who saves from all harm, and Brihaspati who protects our spiritual lustre, vouchsafe prosperity in our study of the scriptures and the practice of the truths contained therein!