Verified error bounds for the real gamma function using double exponential formula over semi-infinite interval

Naoya Yamanaka, Tomoaki Okayama, Shin’ichi Oishi

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

An algorithm is presented for computing verified error bounds for the value of the real gamma function. It has been shown that the double exponential formula is one of the most efficient methods for calculating integrals of the form. Recently, an useful evaluation based on the double exponential formula over the semi-infinite interval has been proposed. However, the evaluation would be overflow when applied to the real gamma function directly. In this paper, we present a theorem so as to overcome the problem in such a case. Numerical results are presented for illustrating effectiveness of the proposed theorem in terms of the accuracy of the calculation.

本文言語English
ホスト出版物のタイトルMathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers
編集者Ilias S. Kotsireas, Siegfried M. Rump, Chee K. Yap
出版社Springer Verlag
ページ224-228
ページ数5
ISBN(印刷版)9783319328584
DOI
出版ステータスPublished - 2016
イベント6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015 - Berlin, Germany
継続期間: 2015 11 112015 11 13

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9582
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015
CountryGermany
CityBerlin
Period15/11/1115/11/13

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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