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  • 标题:Proof of Third and Sixth Standard Forms of Nonelementary Functions
  • 本地全文:下载
  • 作者:Dharmendra Kumar Yadav ; Dipak Kumar Sen
  • 期刊名称:International Journal of Advanced Research In Computer Science and Software Engineering
  • 印刷版ISSN:2277-6451
  • 电子版ISSN:2277-128X
  • 出版年度:2013
  • 卷号:3
  • 期号:4
  • 出版社:S.S. Mishra
  • 摘要:In this paper we have proved two of the six standard forms of nonelementary functions with examples introduced by Yadav & Sen as indefinite nonintegrable functions. The sine and cosine integrals are the particular case of both the third and sixth forms. Their proofs are based on the strong Liouville's theorem, its special cases and some properties due to Marchisotto & Zakeri. AMS Subject Classification 2010: 97I50, 26A09
  • 关键词:Nonelementary functions; strong Liouville theorem
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