Journal of Jishou University(Natural Sciences Edition)

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Ways to Improve Uniform Convergence in Fresnel Integral Calculation

XING Jiasheng,YANG Xiaoyuan,BAI Lu   

  1. (1.Department of Mathematics,Beihang University,Beijing 100191,China;2.LMIB of the Ministry of Education,Beihang University,Beijing 100191,China)
  • Online:2016-09-25 Published:2016-10-01


The uniform convergence of generalized integral with parameters involved in Fresnel integral calculation is studied.It is found that the comparison method can give a direct proof of the generalized integral with parameters which is uniformly convergent.This method can simplify the proving process and obtain good results.

Key words: Fresnel integrals, generalized integral with parameters, uniform convergence, comparison method

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