The mantra you have provided is a composite Jain mantra that incorporates several sacred elements and invokes deep reverence for the Jinas (Tirthankaras) and Arhats. Here is a breakdown:

• ॐ नमो जिणाणं, सरणाणं, मंगलाणं, लोगुत्तमाणं: This is a Prakrit invocation paying homage to the Jinas, the refuge, the auspicious ones, and the supreme beings of the universe.
• हाँ ह्रीँ हूँ हैं ह्रौं हूः असिआउसा: These are Beej Mantras (seed syllables) associated with different Tirthankaras and are considered to contain potent spiritual vibrations.
• त्रैलोक्य ललाम भूताय, क्षुद्रोपद्रव शमनाय अर्हते नमः स्वाहा: This means "Salutations to the Arhat, adorned as the crest-jewel of the three worlds, who removes minor afflictions."

Name of the Mantra: This mantra is commonly referred to as the "Arham Beej Mantra" or "Beejankur Arham Mantra" in Jainism, especially within certain sects and meditation practices. It is a form of Arhat Vandana (Salutation to the Arhat) and amalgamates the essence of the Navkar Mantra with beej syllables and praises of the Arhat.

Purpose and Significance:

• It is recited for spiritual upliftment, seeking protection, and the removal of obstacles (upadrava shaman).
• The beej syllables are believed to carry the subtle energies of the Tirthankaras.

Note: While the most fundamental mantra in Jainism is the Navkar Mantra (Namokar Mantra), this particular mantra is an extended, esoteric version used in meditative and ritualistic contexts by some Jain practitioners.

Summary: This is known as the Arham Beej Mantra or Beejankur Arham Mantra, a sacred Jain mantra invoking the Tirthankaras and Arhats for auspiciousness, protection, and spiritual elevation.