Bicomplex generalized hypergeometric functions and their applications

Abstract

In this work, generalized hypergeometric functions for bicomplex argument is introduced and its convergence criteria is derived. Furthermore, integral representation of this function has been established. Moreover, quadratic transformation, differential relation, analyticity and contiguous relations of this function are derived. Additionally, applications in quantum information system and quantum optics are provided as a consequence.

arXiv comment30 pages, 3 figures

References in corpus (3)

• Generalized Hypergeometric Coherent States
• Generalized Coherent States Associated with the $C_{\lambda }$-Extended Oscillator
• Generalized coherent states associated with the C_λ-extended oscillator