The current paper represents a bibliometric and trend analysis within the academic domain on generative AI in art with reference to 357 peer-reviewed articles indexed in the Web of Science database in 2021-24. This research paper describes the current state of research in the field, its main contributors, and the developing trends in research regarding the change in the literature by use of systematic mapping. The discussion establishes the fact that the academic interest in the field has grown at an exceedingly fast pace over the last years since 2021, and it can be explained by the breakthrough in the field of generative technologies and the overall dialogue between the fields of computer science and creative arts. It is important to note that China, the United States, and the United Kingdom become the busiest nations that prove their strong academic background in artificial intelligence and digital arts. Analysis of the use of keywords shows that there was a focus on technical foundations, including generative adversarial networks (GANs) and deep learning algorithms, which eventually evolved into application-specific uses, including AI-assisted types of creativity, conservation of cultural heritage with the help of AI, and interactive installations in contemporary art. Furthermore, thematic clustering also shows that the question of ethical issues, including the right to authorship, intellectual property management, and cultural legitimacy is receiving the growing interest as the question of the impact of AI-generated art on society is becoming more and more problematic. Not only can this bibliometric analysis trace the development of the topics under study but also has a systematic foundation of the further interdisciplinary cooperation along with the information about the technological and cultural changes introduced by AI in the sphere of creativity.