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This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

Number theory --- Ordered algebraic structures --- Operational research. Game theory --- Discrete mathematics --- Probability theory --- Mathematics --- Mathematical physics --- algebra --- waarschijnlijkheidstheorie --- theoretische fysica --- discrete wiskunde --- stochastische analyse --- functies (wiskunde) --- wiskunde --- fysica --- kansrekening --- getallenleer

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Transcendental functions --- Geometry, Algebraic --- Functions, Transcendental --- Functions, Special --- Funcions transcendents --- Geometria algebraica --- Geometria algèbrica --- Geometria --- Anàlisi p-àdica --- Cicles algebraics --- Espais algebraics --- Esquemes (Geometria algebraica) --- Esquemes de grups (Matemàtica) --- Geometria algebraica aritmètica --- Grups algebraics lineals --- Geometria analítica --- Geometria biracional --- Geometria enumerativa --- Geometria tropical --- Homologia --- Singularitats (Matemàtica) --- Superfícies algebraiques --- Teoria de mòduls --- Teoria de la intersecció --- Teoria de Hodge --- Varietats abelianes --- Varietats algebraiques --- Corbes algebraiques --- Funcions abelianes --- Funcions especials --- Funcions de Bessel --- Funcions gamma --- Funcions hipergeomètriques --- Funcions theta