Bicomplex generalized hypergeometric functions and their applications

被引：0
|
作者：
Bera, Snehasis [1 ]
Das, Sourav [1 ]
Banerjee, Abhijit [2 ]
机构：
[1] Natl Inst Technol Jamshedpur, Dept Math, Jamshedpur 831014, Jharkhand, India
[2] Garhbeta Coll, Dept Math, Paschim Medinipur 721127, West Bengal, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 550卷 / 01期
关键词：
Bicomplex function; Bicomplex gamma function; Generalized hypergeometric function; Coherent states; COHERENT; STATES;
D O I：
10.1016/j.jmaa.2025.129490
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：35
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