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  • 标题:Certain integrals involving generalized Mittag-Leffler type functions
  • 本地全文:下载
  • 作者:Sirazul Haq ; Maggie Aphane ; Mohammad Saeed Khan
  • 期刊名称:Vojnotehnicki glasnik / Military Technical Courier
  • 印刷版ISSN:0042-8469
  • 电子版ISSN:2217-4753
  • 出版年度:2022
  • 卷号:70
  • 期号:4
  • 页码:797-817
  • DOI:10.5937/vojtehg70-40296
  • 语种:English
  • 出版社:Ministry of defence of the Republic of Serbia: University of defence in Belgrade
  • 摘要:Introduction/purpose: Certain integrals involving the generalized MittagLeffler function with different types of polynomials are established. Methods: The properties of the generalized Mittag-Leffler function are used in conjunction with different kinds of polynomials such as Jacobi, Legendre, and Hermite in order to evaluate their integrals. Results: Some integral formulae involving the Legendre function, the Bessel Maitland function and the generalized hypergeometric functions are derived. Conclusions: The results obtained here are general in nature and could be useful to establish further integral formulae involving other kinds of polynomials.
  • 关键词:Mittag-Leffler function; Generalized hypergeometric function; Bessel Maitland function; Jacobi polynomials; Hermite polynomials
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