Jens Herzer has published a new treatment of Jannes and Jambres in 2 Tim 3:8:

Jens Herzer, “Haben die Magier den Verstand verloren? Jannes und Jambres im 2. Timotheusbrief.” Pages 129–41 in Religion als Imagination: Phänomene des Menschseins in den Horizonten theologischer Lebensdeutung. Edited by Lena Seehausen, Paulus Enke, and Jens Herzer. Leipzig: Evangelische Verlagsanstalt, 2020.

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In conjunction with this recent treatment, I list here previous specialist treatments of the topic in reverse chronological order:

Lichtenberger, Hermann. “‘Wie Jannes und Jambres Mose widerstanden’ (2Tim 3,8).” Pages 207–18 in Gegenspieler: Zur Auseinandersetzung mit dem Gegner in frühjüdischer und urchristlicher Literatur. Edited by Michael Tilly and Ulrich Mell. Wissenschaftliche Untersuchungen zum Neuen Testament 428. Tübingen: Mohr Siebeck, 2019.

Aceituno, Marcos. Els dos mags del Nou Testament: Jannes i Jambres; Introducció, traducció i notes Marcos Aceituno [The two magicians of the New Testament: Jannes and Jambres; Introduction, translation and notes by Marcos Aceituno]. Literatura Intertestamentària 8. Barcelona: Facultat de Teologia de Catalunya – Associació Bíblica de Catalunya, 2018. [Catalan]

Allison, Dale C., Jr. “Jannes and Jambres: I. New Testament.” Pages 753–54 in volume 13 of Encyclopedia of the Bible and Its Reception. Edited by Christine Helmer, Steven L. McKenzie, Thomas Römer, Jens Schröter, Barry Dov Walfish, and Eric Ziolkowski. Berlin: de Gruyter, 2016.

Tronina, Antoni. “Jannes i Jambres (2 Tm 3,8). Historia tradycji [Jannes and Jambres (2 Tim 3:8): History of Tradition].” Pages 339–48 in “Będziecie moimi świadkami”: Księga pamiątkowa dla ks. Józefa Kozyry, Profesora Uniwersytetu Śląskiego, w 65. rocznicę urodzin. Ad Multos Annos 18. Warsaw: Stowarzyszenie Biblistów Polskich, 2012. [Polish]

Tin̆o, Jozef. “Opiera sa 2 Tim 3,8-9 o tradíciu spojenú s Ex 7,8-13? [Does 2 Tim 3:3-9 rely on the tradition associated with Ex 7:8-13?]” Studia Biblica Slovaca 3.1 (2011): 17-24. [Slovak; English-language summary at end]

Tromp, Johannes. “Jannes and Jambres (2 Timothy 3,8–9).” Pages 211–26 in Moses in Biblical and Extra-Biblical Traditions. Edited by A. Graupner and M. Wolter. Beihefte zur Zeitschrift für die alttestamentliche Wissenschaft 372. Berlin: Walter de Gruyter, 2007.

Martin, Seán C. Pauli Testamentum: 2 Timothy and the Last Words of Moses. Tesi gregoriana, serie teologia 18. Rome: Pontificia Università Gregoriana, 1999. [note the focused discussion of “Jannes and Jambres at 2 Tim. 3:8-9” on pp. 21-23]

Pickering, Stuart R. “2 Timothy 3:8–9: Jannes and Jambres.” New Testament Textual Research Update 3 (1995): 35-38.

Sparks, H. F. D. “On the Form Mambres in the Latin Versions of 2 Timothy iii 8.” Journal of Theological Studies 40 (1939): 257–58.