On the monotonicity of the ratio of some hyperelliptic integrals of order 7

被引：3
|
作者：
Bakhshalizadeh, A. [1 ]
Asheghi, R. [1 ]
Kazemi, R. [2 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
[2] Univ Kashan, Fac Math, Kashan 8731753153, Iran
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2020年 / 158卷
关键词：
Monotonicity; Hyperelliptic integrals; Algebraic criteria; Hamiltonian function; CRITERION;
D O I：
10.1016/j.bulsci.2019.102810
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the monotonicity of the ratio of some hyperelliptic integrals of order 7. These integrals are related to the 1-forms ydx, xydx and defined by the hyperelliptic curves of dH = 0, with H(x,y) = y(2) + P-7(x), where P-7 is a polynomial of degree 7 depending on three parameters alpha, beta and gamma. Our results are based on the well-known algebraic criteria. (C) 2019 Elsevier Masson SAS. All rights reserved.
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