Bicomplex generalized hypergeometric functions and their applications

In this work, generalized hypergeometric functions for a bicomplex argument are introduced and the convergence criteria are derived. Furthermore, an integral representation of these functions is established. Moreover, quadratic transformation, a differential relation, analyticity, and contiguous relations of these functions are derived. Additionally, applications in quantum information systems and quantum optics are provided as a consequence. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.