the Bessel functions;
the modified Bessel functions;
Huygens type inequalities;
MONOTONICITY;
RATIOS;
D O I:
10.4134/CKMS.c180237
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this note our aim is to extend the Huygens type inequalities to the Bessel and modified Bessel functions of the first kind. Our main motivation to write this note is a recent publication of Zhu, which we wish to complement.
机构:
Indian Stat Inst, Chennai Ctr, Soc Elect Transact & Secur, MGR Knowledge City, Madras 600113, Tamil Nadu, IndiaUniv Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania
机构:
Kazan (Volga Region) Federal University, Kremlevskaya ul. 18, Kazan, TatarstanKazan (Volga Region) Federal University, Kremlevskaya ul. 18, Kazan, Tatarstan
机构:
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
Zhejiang Elect Power Co Res Inst, Hangzhou 310014, Zhejiang, Peoples R China
Elect Power Co Res Inst, Hangzhou 310014, Zhejiang, Peoples R ChinaHuzhou Univ, Dept Math, Huzhou 313000, Peoples R China
Yang, Zhen-Hang
Chu, Yu-Ming
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机构:
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R ChinaHuzhou Univ, Dept Math, Huzhou 313000, Peoples R China