대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권1호
  • /
  • Pages.71-75
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

NOTE ON THREE OF RAMANUJAN'S THEOREMS

  • Park, In-Hyok (Department of Mathematics College of Natural Sciences Pusan National University) ;
  • Seo, Tae-Young (Department of Mathematics College of Natural Sciences Pusan National University)
  • 발행 : 2000.01.01
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초록

The object of this note is to introduce three Ramanuian's formulae of similar nature among his many curious ones and to prove them by making use of the theory of generalized hypergeometric series.

키워드

참고문헌

  1. Proc. London Math. Soc. v.35 no.1 Summation of a certain seres A. C. Dixon
  2. Gottingen thesis Disquisitiones generales circa seriem infinitam... C. F. Gauss
  3. Gottingensis Recent. v.2
  4. Carl Friedrich Gauss Werke v.12 no.3
  5. Proc. Camb. Phill. Soc. v.21 A chapter from Ramanujan's note-book G. H. Hardy
  6. Proc. London Math. Soc. v.24 no.2 On well-posied seres, generalized hypergeometric series having parameters in pairs, each pair with the some sum F. J. W. Whipple
  7. Proc. Lon-don Math. Soc. v.26 no.2 Some transformations of generalized hypergeometric series