Kyungpook Mathematical Journal

  • 제50권4호
  • /
  • Pages.473-482
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  • 2010
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative Operator

  • Purohit, Sunil Dutt (Department of Basic-Sciences (Mathematics), College of Technology and Engineering, M. P. University of Agriculture and Technology)
  • 투고 : 2008.06.09
  • 심사 : 2010.10.04
  • 발행 : 2010.12.31
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초록

In the present paper we define a q-extension of the Leibniz rule for q-derivatives via Weyl type q-derivative operator. Expansions and summation formulae for the generalized basic hypergeometric functions of one and more variables are deduced as the applications of the main result.

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참고문헌

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피인용 문헌

  1. Generalizations of fractional q-Leibniz formulae and applications vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-1847-2013-29