한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제25권1호
  • /
  • Pages.7-16
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  • 2018
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 3F3

  • Kim, Insuk (Department of Mathematics Education, Wonkwang University) ;
  • Jun, Sungtae (General education Institute, Konkuk University)
  • 투고 : 2017.09.18
  • 심사 : 2018.02.23
  • 발행 : 2018.02.28
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초록

The main objective of this paper is to demonstrate how one can obtain very quickly so far unknown Laplace transforms of rather general cases of the generalized hypergeometric function $_3F_3$ by employing generalizations of classical summation theorems for the series $_3F_2$ available in the literature. Several new as well known results obtained earlier by Kim et al. follow special cases of main findings.

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참고문헌

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