Ach-sandhi: ऌ + ऌ = ॡ नास्ति?

[Arnab Bhattacharya]

किमर्थम् ऌ + ऌ = ॠ , न ऌ + ऌ = ॡ?
ॡ किम् दीर्घः ऌ नास्ति?
धन्यवादः,
अर्णवः

[S. L. Abhyankar]

नमस्ते अर्णववर्य !

One can very much type लॄ by typing lRR in Google Input tool. 

The wikipedia "Sandbox" at <https://en.wikipedia.org/w/index.php?title=Wikipedia:Sandbox&action=edit&oldid=596189391> also provides typing ऌ ॡ कॢ कॣ.

The सूत्रम् अकः सवर्णे दीर्घः also does not prohibit ऌ + ऌ  = ॡ

Also सूत्र-s "अचश्च" (1'2'28) immediately after ऊकालोऽज्झ्रस्वदीर्घप्लुतः (1'2'27) also do not preclude ॡ as दीर्घ of ऌ.

The only point then remains, whether Sanskrit diction has any word ending in ॡ and/or beginning with ॡ, such that one would have an instance of अकः सवर्णे दीर्घः. 

The grammatical name of धातुः गम् is गमॢँ, which has ऌँ at its end. That ऌँ becomes इत् by उपदेशेऽजनुनासिक इत् (1'3'2). But, as far as I know, Sanskrit diction does not have any word starting with ऌ or ॡ.   

[Arnab Bhattacharya]

All right, I can now understand.
Since there is nothing that starts with ऌ or ॡ, Sandhi rules involving them are probably only academic anyway.

Thank you very much for the detailed answer.

Regards,
Arnab

[Tilak Rao]

Li-kaara has only hrasva and pluta form. No dirgha form for li-kara. Therefore Li+Li is ॠ

[Arnab Bhattacharya]

अस्तु!
अधुना अवगच्छामि।
धन्यवादः!