대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권1호
  • /
  • Pages.65-94
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  • 2016
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS

  • Harsh, Harsh Vardhan (Department of Mathematics Amity School of Engineering and Technology Amity University) ;
  • Kim, Yong Sup (Department of Mathematics Education Wonkwang University) ;
  • Rakha, Medhat Ahmed (Department of Mathematics Faculty of Science Suez Canal University) ;
  • Rathie, Arjun Kumar (Department of Mathematics School of Mathematical and Physical Sciences Central University of Kerala)
  • 투고 : 2015.04.18
  • 발행 : 2016.01.31
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초록

In 1812, Gauss obtained fifteen contiguous functions relations. Later on, 1847, Henie gave their q-analogue. Recently, good progress has been done in finding more contiguous functions relations by employing results due to Gauss. In 1999, Cho et al. have obtained 24 new and interesting contiguous functions relations with the help of Gauss's 15 contiguous relations. In fact, such type of 72 relations exists and therefore the rest 48 contiguous functions relations have very recently been obtained by Rakha et al.. Thus, the paper is in continuation of the paper [16] published in Computer & Mathematics with Applications 61 (2011), 620.629. In this paper, first we obtained 15 q-contiguous functions relations due to Henie by following a different method and then with the help of these 15 q-contiguous functions relations, we obtain 72 new and interesting q-contiguous functions relations. These q-contiguous functions relations have wide applications.

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참고문헌

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