The single-syllable seed (bija) mantra of Bagalamukhi - "Hlīṃ", the Bagala-bija (the stambhana / "arresting" seed). The kernel of her longer mantras, repeated as japa for stillness, steadiness and victory over confusion.
Bagalamukhi Mula Mantra (the famous published mantra)
बगलामुखी मूल मन्त्र - सर्वदुष्टानां वाचं मुखं स्तम्भय
The famous and very widely-published mula (root) mantra of Bagalamukhi - the 36/38-syllable mantra that prays for the stilling (stambhana) of the speech, mouth, feet and intellect of all that is harmful. The best-known of all Mahavidya mantras after the Kali and Tara bijas; recited for protection, victory in disputes, and the silencing of confusion and malice.
The Gayatri of Bagalamukhi, following the standard "vidmahe / dhimahi / prachodayat" pattern; meditated upon for the stilling power (stambhana) that arrests all that is hostile or confused.
ॐ बगलामुख्यै विद्महे स्तम्भिन्यै धीमहि।
तन्नो देवी प्रचोदयात्॥
The classical Dhyana verse of Bagalamukhi - seated on a golden throne amid a sea of nectar, robed in yellow, three-eyed and crescent-crowned, holding a club with which she chastises the adversary while seizing his tongue. The central image of stambhana. Recited before her worship.
The opening of the Bagalamukhi Kavacham - the "armour" hymn in which the Goddess is invoked to protect each part of the body in turn. Here only the invocatory opening (protecting the head and face) is given. Recited for protection.
ॐ ह्लीं बगलामुखी देवी जिह्वाग्रं कीलयेति च।
शिरो मे पातु सततं सर्वविद्या प्रदायिनी॥
ललाटं पातु मे नित्यं बगला कमलेक्षणा।
नेत्रे ह्लीं बगला पातु मुखं पीताम्बरा मम॥
The opening names of the Bagalamukhi Ashtottara-shatanama-stotram (108 names), a litany of the golden Goddess recited for protection, steadiness and victory.
बगला विष्णुवनिता विष्णुशङ्करभामिनी।
बहुला वेदमाता च महाविष्णुप्रसूरपि॥