As a deity name
Name 435 of the Saraswati Sahasranāma — Skanda Purana, as taught by Lord Brahma / Sages
As a Hindi name
No reading on this path — this spelling has no entry in our Hindi sources, and no near neighbour is attested there either. We say so rather than invent one.
As a Sanskrit word
Meaning
sg. or pl. (ifc. ā) fate, destiny (resulting from merit or demerit in former existences), fortune, (esp.) good fortune, luck, happiness, welfare, &c. (˚gyena luckily, fortunately…
Scripturally attestedWhy this matches what you typed
M1 · same meaning "bhāgyāyai" is the dative of "bhāgya" — the same word in a different grammatical case.
Dictionary citations
1. bhāgya mfn. (fr. bhaga) relating to Bhaga
bhāgya n. (with yuga) the 12th or last lustrum in Jupiter's cycle of 60 years, VarBṛS.
Caveats
Sources contain errors and engines have limits; every claim above carries its citation so you can verify it. This is guidance about names and their sources — not religious or astrological consultation. How we work · Our sources