On the zeros of J (x)

作者:Kokologiannaki Chrysi G; Petropoulou Eugenia N*
来源:Integral Transforms and Special Functions, 2013, 24(7): 540-547.
DOI:10.1080/10652469.2012.720253

摘要

The zeros of J(x) are studied by using classical analysis and the properties of J(x). It is proved that J(x) has infinite positive zeros and between two consecutive positive zeros of J(x), there exist at least one zero of J(x) for %26gt;1. Moreover, several theorems are given regarding their location depending on the values of . Also, alternative proofs are given regarding the monotonicity of the positive zeros of J(x) for %26gt;(1+root 5)/2 and %26gt;1.

  • 出版日期2013-7-1