Honam Mathematical Journal (호남수학학술지)

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A FAMILY OF NEW RECURRENCE RELATIONS FOR THE JACOBI POLYNOMIALS Pn(α,β)(x)

  • Shine, Raj S.N. (Department of Mathematics, Central University of Kerala) ;
  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Rathie, Arjun K. (Department of Mathematics, Central University of Kerala)
  • Received : 2017.12.11
  • Accepted : 2018.02.18
  • Published : 2018.03.25
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Abstract

The objective of this paper is to present 87 recurrence relations for the Jacobi polynomials $P_n^{({\alpha},{\beta})}(x)$. The results presented here most of which are presumably new are obtained with the help of Gauss's fifteen contiguous function relations and some other identities recently recorded in the literature.

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References

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