首页> 外文期刊>Advances in Difference Equations >On certain hypergeometric identities deducible by using the beta integral method
【24h】

On certain hypergeometric identities deducible by using the beta integral method

机译:关于使用β积分方法可推导的某些超几何恒等式

获取原文
           

摘要

The aim of this research paper is to demonstrate how one can obtain eleven new and interesting hypergeometric identities (in the form of a single result) from the old ones by mainly applying the well-known beta integral method which was used successfully and systematically by Krattenthaler and Rao in their well known, very interesting research papers. The results are derived with the help of generalization of a quadratic transformation formula due to Kummer very recently obtained by Kim et al. Several identities, including one obtained earlier by Krattenthaler and Rao, follow special cases of our main findings. The results established in this paper are simple, interesting, easily established and may be potentially useful. MSC: 33C05, 33C20, 33C70.
机译:本研究的目的是说明如何通过主要使用Krattenthaler成功而系统地使用的著名β积分方法,从旧数据中获得11个新的有趣的超几何恒等式(以单个结果的形式)。和饶在他们著名的,非常有趣的研究论文中。这些结果是借助于归因于Kim等人最近获得的Kummer的二次变换公式的一般化而得出的。某些身份,包括Krattenthaler和Rao较早获得的身份,遵循了我们主要发现的特殊情况。本文建立的结果简单,有趣,容易建立并且可能很有用。 MSC:33C05、33C20、33C70。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号