ἔλπω · elpō — LSJ
causal, only found in pres. (exc. ἔλπεον· ἤλπιζον, Id.), cause to hope, πάντας μὲν ἔλπει she feeds all with hope, Od. 2.91, 13.380; perh. also, cause to expect, Max. 178 (but may, = expect).
elsewh. in Med., ἔλπομαι, Ep. ἐέλπομαι, ἠλπόμην Od. 9.419, Alc. Supp. 22.8, Pi. P. 4.243, etc.: Ep. 3 sg. impf. ἔλπετο and ἐέλπ-, Od. 3.275, Il. 12.407 (ἔλπετο also in Luc. Syr.D. 22): pf. ἔολπα Il. 22.216, Od. 5.379, Hes. Op. [273], A.R. 2.147, etc.: 3 sg. plpf. ἐώλπει Il. 19.328, Od. 20.328, A.R. 3.370, Theoc. 25.115:—hope or expect, Ep., Lyr., Ion. (not in Hp.) for Att. ἐλπίζω (q.v.):— Constr., like ἐλπίζω: c. acc. and fut. inf., Il. 13.8, B. Fr. 12: c. aor. inf., Il. 7.199, Pi. P. 4.243 codd
expect anxiously, fear, ἐλπόμενός τί οἱ κακὸν εἶναι having a foreboding that . . , Hdt. 9.113.
generally, deem, suppose, οὔ ποθι ἔλπομαι οὕτως δεύεσθαι πολέμοιο . . Ἀχαιούς Il. 13.309, cf. Theoc. 7.31; ἐπὴν ἡμέας ἔλπῃ ποτὶ δώματʼ ἀφῖχθαι Od. 6.297, cf. 23.345; ἔλπετο γὰρ κατὰ θυμὸν . . ἑταίρους . . ἰέναι (pres. inf.) Il. 10.355; οὐ γὰρ ὅ γʼ ἀθανάτων τινʼ ἐέλπετο . . Τρώεσσιν ἀρηξέμεν Il. 13.8, cf. 7.199, 15.110, Orac. ap. Hdt. 1.65, AP 5.115 (Marc. Arg.); λάσην Alc. l.c. (ϝελπ-, ἐϝέλπομαι, ϝέϝολπα, cf. Lat. volup.)