As there is no styliform production in Anthoceros, so there is none in ferns.    From Wordnik.com.  [Journals of Travels in Assam, Burma, Bhootan, Afghanistan and the Neighbouring Countries] Reference

Skeleton of left series of Branchial Arches of a Perch, seen from above. 1, glosso-hyal; 2, 3, and 4, basi-branchials; 5, hypo-branchials; 6, cerato-branchials; 7. epi-branchials; 8, styliform pharyngo-branchials; 9, pharyngo-branchials; 6 '' '' inferior pharyngeal bone; 9 'and 9' 'superior pharyngeal bones; 5, 6, 7, and 8, first branchial arch; 5', 6 ', 7', and 9, second branchial arch; 5 '', 6 '', 7 '' and 9 ', third branchial arch; 5' ', 6' '', and 7 '' ', fourth branchial arch; 6' '' ', fifth branchial arch.    From Wordnik.com.  [The Common Frog] Reference