Quick Definition
κἄν Cond. and if, even if
Strong's Definition
and (or even) if
Derivation: from G2532 (καί) and G1437 (ἐάν);
KJV Usage: and (also) if (so much as), if but, at the least, though, yet
UBS Dictionary of the Greek New Testament
UBS Dictionary of the Greek New Testament © United Bible Societies, licensed CC BY-SA 4.0.
Thayer's Greek Lexicon
κἄν [Grsb. κἄν ; see κἀγώ, init.], by crasis for καὶ ἐάν [ef. W.§5, 3; B.p. 10; Tdf. Proleg. p.97; WH. App. p- 145°]; hence joined with the subjunctive; ae and if: Mt. x. 23 GL; Mk. xvi. 18; [Lk. xii. 38 (bis) T Tr txt. WH; Jn. viii. 55 L T Tr WH; 1 Co. xiii. 2" L WH, 2
Mounce Concise Greek Dictionary
κἄν kan 17x
crasis, and if, Mk. 16:18; also if, Mt. 21:21; even if, if even, although, Jn. 10:38; if so much as, Heb. 12:20; also in NT simply equivalent to καί, as a particle of emphasis, by a pleonasm of ἄν, at least, at all events, Mk. 6:56; Acts 5:15; 2 Cor. 11:16
Abbott-Smith Greek Lexicon
κἄν,
by crasis for καὶ ἄν (= ἐάν; WH, App., 145b; Thayer, s.v.), c. subjunc.,
and if: Mk 16:[18], Lk 12:38, Jo 8:55, I Co 13:2, 3, Ja 5:15; c. ellips., Lk 13:9.
Concessive, even if: Mt 21:21 26:35, Jo 8:14 10:38 11:25, He 12:20.
As intensive of simple καί (M, Pr., 167; WM, 730; Jannaris, Gr., 598), even, at least: Mk 5:28 6:56, Ac 5:15, II Co 11:16.†
Moulton & Milligan — Vocabulary of the Greek NT
Liddell-Scott-Jones — Greek-English Lexicon
κἄν (kan) — and/even if. κἄν (not κᾄν), by crasis,
I. for καὶ ἄν.., variant in [Refs 8th c.BC+] is simply copulative, [Refs 5th c.BC+]; but frequently when καί is intensive, ὅ γε κ. μέγα δοίη even a great thing, [Refs 8th c.BC+]; sometimes repeated after or before a Verb with ἄν, ἐπεὶ κ. σὺ.., εἴ τίς σε διδάξειεν.., βελτίων ἂν γένοιο [Refs 5th c.BC+]; frequently in the phrase κ. εἰ, where καί properly belongs to εἰ, even if, and ἄν to the Verb that follows in apodosi, νῦν δέ μοι δοκεῖ, κ. ἀσέβειαν εἰ καταγιγνώσκοι, τὰ προσήκοντα ποιεῖν (for καὶ εἰ καταγιγνώσκοι, ποιεῖν ἄν) [Refs 4th c.BC+]
I.2. even when the Verb in apodosi was of a tense that could not be joined with ἄν, κ. εἰ πολλαὶ [αἱ ἀρεταί].. εἰσιν, ἕν γέ τι εἶδος ταὐτὸν ἅπασαι ἔχουσι [Refs 5th c.BC+]
I.3. in later Gr. without εἰ, simply as a stronger form of καί, even, εἴσελθε κ. νῦν [NT+5th c.BC+]; κ. νῦν now at any rate, [Refs 3rd c.AD+]; κἂν ὧς even so, nevertheless, [Refs 3rd c.AD+]; οἷς οὐδὲ κ. ὄνος ὑπῆρξε πώποτε [Refs 2nd c.AD+]
II. for καὶ ἄν (ἐάν), even if, with the same moods as ἐάν, [Refs 5th c.BC+], and so probably in [Refs 5th c.BC+]
II.2. κἄν.., κἄν.., whether.., or.., κἂν μεγάλην πόλιν οἰκῶσι κἂν μικράν [Refs 4th c.BC+]