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  • 标题:Some expansion formulas for incomplete H - and H̅ -functions involving Bessel functions
  • 本地全文:下载
  • 作者:Sapna Meena ; Sanjay Bhatter ; Kamlesh Jangid
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-03022-z
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function. Next, we evaluate an integral containing incomplete H̅-functions and use it to develop an expansion formula for the incomplete H̅-functions including the Bessel function. The outcomes introduced in this paper are general in nature, and several particular cases can be acquired by giving specific values to the parameters engaged with the principle results. As particular cases, we derive expansions for the incomplete Meijer ${}^{(\Gamma )}G$ -function, Fox–Wright ${}_{p}\Psi _{q}^{(\Gamma )}$ -function, and generalized hypergeometric ${}_{p}\Gamma _{q}$ function.
  • 关键词:33B20 ; 33C60 ; 33C10
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