Confluent Hypergeometric Function and Its Nexus to Different Special Functions

Authors

  • Bhadra Raj Tripathi 3Prithvi Narayan Campus, Tribhuvan University, Nepal
  • Iswarmani Adhikari Prithvi Narayan Campus, Tribhuvan University, Nepal
  • Rajendra Prasad Regmi Prithvi Narayan Campus, Tribhuvan University, Nepal
  • Sameer Tripathi School of Engineering, Pokhara University, Nepal

DOI:

https://doi.org/10.3126/amcjd.v7i1.91955

Keywords:

Bessel Function, Confluent Hypergeometric Function, Error Function, Incomplete Gamma Function, Hermit Polynomial Functions, Whittaker Functions

Abstract

This paper aims to explore the unifying role of the Confluent Hypergeometric Function in the derivation of some special functions: Incomplete Gamma Function, Error Function, Laguerre Polynomial Function, Hermite Polynomial Function, Bessel Function, and Whittaker Function through series expansions. This study is based on a systematic review of the literature to lay out a cohesive perspective that enhances understanding of the theoretical concepts of special functions and furnishes a streamlined approach for applications across mathematics, engineering, probability, and other areas of applied mathematics.

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Published

2026-03-23

How to Cite

Tripathi, B. R., Adhikari , I., Regmi, R. P., & Tripathi, S. (2026). Confluent Hypergeometric Function and Its Nexus to Different Special Functions. AMC Journal (Dhangadhi), 7(1), 1–10. https://doi.org/10.3126/amcjd.v7i1.91955

Issue

Vol. 7 No. 1 (2026)

Section

Articles