Herbert Weir Smyth, A Greek Grammar for Colleges

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[*] 942. In referring to himself in letters a man may use his own name in the nominative, either in apposition to the first person contained in the verb (976), or as subject of a verb in the third person: Θεμιστοκλῆς ἥκω παρὰ σέ I, Themistocles, have come to you T. 1.137, ““Ἀρταξέρξης νομίζει” Artaxerxes thinks” X. H. 5.1.31.

a. A speaker referring to himself in the third person usually soon reverts to the first person (D. 18.79).