Narasimha is a form of Devi Durga?

Question

In the Durga Chalisa, it says that:

धरा रूप नरसिंह को अम्बा
प्रकट भई फाडकर खम्बा
रक्षा करि प्रह्लाद बचायो
हिरण्याक्ष को स्वर्ग पठायो
You Assumed the Form of Lord Narasimha,
And Appeared Breaking the Pillar You Saved Prahlada
And Sent Hiranyakashyapu to Heaven (as he was killed by You)

Now I am aware of the sentiment that all deities, are in essence the same. I have also seen specific references in other scriptures, such as the one below given in the [Shivakamasundari Sahasranama Stotra]:

ekaiva śaktiḥ parameśvarasya
bhinnā caturdhā viniyogakāle
bhoge bhavānī puruṣeṣu viṣṇuḥ
kopeṣu kālī samareṣu durgā

Which equates the form of goddess Bhavani with blessing devotees with all pleasures / desires, Vishnu as the masculine form of Devi, Kali as the manifestation of anger, and Durga as the manifestation on the battle field.

Are there are any specific sources that equate Devi Durga and Narasimha in any puranas?

Answer 1

There are different texts, which equates 10 mahavidyas with 10 avatars differently. But, The MundamAla Tantram, which is a ShAkta Agama gives the list of Das Mahadyas and Das Avataras as follows:

Krishnastu kAlikA sAkshAd rAmamurtishcha tArini | VarAho bhuvanA proktA nrisimho bhairavishwari || DhumAvati vAmanah syachinna bhrigukulodbhavah | KamalA matsyarupah syAt kurmastu bagalAmukhi || MAtangi bauddha ityeshA shodashi kalkirupini |

Here the mapping the relations is as follows:

KAli-- Krishna TArA-- RAma Bhuvaneswari-- VarAha Bhairavi-- Nrisimha DhumAvati-- VAmana Chinnamsta-- ParashurAma KamalA-- Matsya BagalAmukhi-- Kurma MAtangi-- Buddha Shodashi-- Kalki.

I hope this clarifies your queries.

Answer 2

Pratyangira Sanskrit: प्रत्यङ्गिरा, Pratyaṅgirā, also called Atharvana Bhadrakali, Narasimhi, Simhamukhi, and Nikumbala, is a Hindu goddess associated with Shaktism. She is described to be the female energy and consort( here consort means an analogy of Narasimha). According to the Tripura Rahasya, she is the pure manifestation of the wrath of Tripura Sundari. In the Vedas, Pratyangira is represented in the form of Atharvana Bhadrakali, the goddess of the Atharva Veda and magical spells. Narasimhi is part of the Saptamatrika mother goddesses. Similarly Varaha in the dasavatar is associated with Varahi

Similar question - What is the relation between Dash Mahavidyas and Dashavatar?

https://en.wikipedia.org/wiki/Pratyangira

https://en.wikipedia.org/wiki/Mahavidya#:~:text=The%2010%20Mahavidyas%20are%20usually,%2C%20Bagalamukhi%2C%20Matangi%20and%20Kamala.

This is a completely logical analogy, As mentioned in the vedas Uma is Vishnu and Vishnu is Uma himself :)