대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권1호
  • /
  • Pages.151-157
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  • 2003
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON q-ANALOG OF HUMMER'S THEOREM AND ITS CONTIGUOUS RESULTS

  • 발행 : 2003.01.01
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초록

The aim of this paper is to derive the well-known q-analog of kummer's theorem by using q-integral representation. In addition to this, two results closely related to the q-kummer's theorem have also been obtained by the same method.

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참고문헌

  1. Duke Math v.40 no.3 On the q-analog of kummer's theorem and application G. E. Andrews https://doi.org/10.1215/S0012-7094-73-04045-3
  2. Czech. J. of Phisics v.51 no.12 A New method for q-hypergeometric series T. A. Ernst
  3. Basic hypergeometric series G. Gasper;H. Rahman
  4. Proc. Edin. Math. Soc. v.22 Note of a theorem of Lommel F. H. Jackson https://doi.org/10.1017/S0013091500002017
  5. Quart. J. Pure and Appl. Math. v.41 On q-definite integrals F. H. Jackson
  6. J. Reine Angew Math. v.70 Beitrage zur Theorie der durch die Heineshe Reihe. J. Thomae
  7. Annali di Mathematica Pure ed Applicata v.4 Les Series de la forme. J. Thomae https://doi.org/10.1007/BF02420027
  8. Generalized Hypergeometric Function L. J. Slater

피인용 문헌

  1. A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS vol.31, pp.1, 2016, https://doi.org/10.4134/CKMS.2016.31.1.065