As a deity name
Name 732 of the Gayatri Sahasranāma — Devi Bhagavata Purana, as taught by 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
1 One of the forms of the goddess DURGĀ. 2 A fragrant grass, (Cyperus pertenuis or rotundus.) E. bhadra ŚIVA, kla to approximate, aff. ghaña and ṅīp.
Scripturally attestedWhy this matches what you typed
M1 · same meaning "bhadrakālyai" is the dative of "bhadrakālī" — the same word in a different grammatical case.
Dictionary citations
bhadra—kālī f. N. of a goddess (later a form of Durgā), ŚāṅkhGṛ.; Mn.; MBh. &c.
of one of the Mātṛs attending on Skanda, MBh.
Caveats
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