arXiv Open Access 2021

Monotonicity Properties of Gaussian Hypergeometric Functions with Respect to the Parameter

Qi Bao Miao-Kun Wang AND Song-Liang Qiu

Lihat Sumber

Abstrak

The authors establish the necessary and sufficient conditions under which certain combinations of Gaussian hypergeometric function and elementary function are monotone in the parameter, which generalize the recent results of generalized elliptic integrals of the first and second kinds obtained by Qiu et al. Moreover, the authors also prove two monotonicity theorems of generalized elliptic integrals from another point of view.

Topik & Kata Kunci

math.CA

Penulis (3)

Qi Bao

Miao-Kun Wang

AND Song-Liang Qiu

Format Sitasi

APA MLA BibTeX

Bao, Q., Wang, M., Qiu, A.S. (2021). Monotonicity Properties of Gaussian Hypergeometric Functions with Respect to the Parameter. https://arxiv.org/abs/2112.13993

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓