Herbert Weir Smyth, A Greek Grammar for Colleges

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[*] 746. μι-verbs may pass into the ω inflection elsewhere than in the subjunctive. a. Verbs in -νυ_μι often inflect the present and imperfect active (not the middle) from a present in -νύω; as δεικνύω (but usually δείκνυ_μι), δεικνύεις, δεικνύει, imperf. ἐδείκνυον, -ες, -ε, etc.,; imper. δείκνυε, inf. δεικνύειν, part. δεικνύων.

b. τίθημι, ἵστημι, δίδωμι, ἵ_ημι, etc., show some ω-forms in pres. (and imperf.) indic. opt. imper. and infin.; but the forms τιθέω, ἱστέω, διδόω, ἱ_έω, do not occur in the 1 sing.

c. In the present and second aorist optative of τίθημι and ἵ_ημι there is a transition to the ω-conjugation but not in the 1 and 2 singular. The accent is differently reported: (1) as if the presents were τιθέω, ἱ_έω; (2) as if the presents were τίθω, ἵ_ω. Thus:

Active: ἀφί_οιτε for ἀφι_εῖτε, ἀφί_οιεν for ἀφι_εῖεν.—Middle: τιθοῖτο, ἐπιθοίμεθα, συνθοῖτο, ἐπιθοῖντο (also accented τίθοιτο, ἐπίθοιντο); προοῖτο, προοῖσθε, προοῖντο (also accented πρόοιτο, πρόοιντο). Hdt. has -θέοιτο and -θεῖτο. The form in -οῖτο for -εῖτο occurs especially in Plato.

d. The Mss. vary between τιθῶμαι and τίθωμαι, ἀποθῶμαι and ἀπόθωμαι (426 f).

e. Some other μι-verbs show alternative ω-forms, as πιμπλάω, -εω (πίμπλημι), πιπράω (πίμπρημι), Hom. ἀγάομαι (ἄγαμαι), and ἱ_λάομαι (ἵ_λημι). So often with -νημι verbs (737), as δαμνᾷ and δάμνησι, ἐκίρνα_ and κιρνά_ς.