Herbert Weir Smyth, A Greek Grammar for Colleges

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[*] 540. Doric Future.—Some verbs, which have a future middle with an active meaning, form the stem of the future middle by adding -σεόε-, and contracting -σέομαι to -σοῦμαι. Such verbs (except νέω, πί_πτω) have also the regular future in -σομαι.

κλαίω (κλαυ-, 520) weep κλαυσοῦμαι, νέω (νυ-, νευ-) swim νευσοῦμαι (doubtful), πλέω (πλυ-, πλευ-) sail πλευσοῦμαι, πνέω (πνυ-, πνευ-) breathe πνευσοῦμαι, πί_πτω (πετ-) fall πεσοῦμαι, πυνθάνομαι (πυθ-, πευθ-) πευσοῦμαι (once), φεύγω (φυγ-, φευγ-) φευξοῦμαι, χέζω (χεδ-) χεσοῦμαι.

a. The inflection of the Doric future is as follows:—

λυ_σῶ, -σοῦμαι	λυ_σοῦμες, -σούμεθα	λυ_σῶν, -σούμενος
λυ_σεῖς, -σῇ	λυ_σεῖτε, -σεῖσθε	λυ_σεῖν, -σεῖσθαι
λυ_σεῖ, -σεῖται	λυ_σοῦντι, -σοῦνται

b. These are called Doric futures because Doric usually makes all futures (active and middle) in -σέω -σῶ, -σέομαι -σοῦμαι.

c. Attic πεσοῦμαι (Hom. πεσέομαι) from πί_πτω fall comes from πετεομαι. Attic ἔπεσον is derived from 2 aor. ἔπετον (Dor. and Aeol.) under the influence of πεσοῦμαι.