Herbert Weir Smyth, A Greek Grammar for Colleges

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[*] 487. Lengthening of Short Final Vowel.—Verb-stems ending in a short vowel generally lengthen that vowel before the tense-suffix in all tenses (except the present and imperfect) formed from them. Here α (except after ε, ι, and ρ) and ε become η, ο become ω.

τι_μά-ω (τι_μα-) honour, τι_μή-σω, ἐτί_μη-σα, τετί_μη-κα, τετί_μη-μαι, ἐτι_μή-θην; θηρά-ω (θηρα-) hunt, θηρά_-σω, ἐθήρα_-σα, etc. (389); ποιέω (ποιε-) make, ποιή-σω, ἐποίη-σα, πεποίη-κα, πεποίη-μαι, ἐποιή-θην; δηλόω (δηλο-) manifest, δηλώ-σω, ἐδήλω-σα, etc.; ἐάω permit, ἐά_σω, etc.

a. Note ἀκροά_σομαι, ἠκροα_σάμην, etc., from ἀκροάομαι hear; χρήσω, ἔχρησα from χράω give oracles; χρήσομαι, ἐχρησάμην from χράομαι use; τρήσω and ἔτρησα from τετραίνω bore are from τρε-.

b. Verb-stems adding ε or ο (486), and stems apparently receiving a short final vowel by metathesis (128), lengthen the short final vowel, as βούλομαι (βουλ-) wish, βουλή-σομαι (βουλε-, 485), κάμνω (καμ-) am weary, κέκμη-κα (κμα-).