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.

引用

页数：35

共 50 条

[21] ZEROS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
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[22] On applications of hypergeometric functions
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