Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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

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.

Keywords

Recurrence relations;Jacobi polynomials;Hypergeometric function $_2F_1$;Contiguous function relations;Gamma function;Pochhammer symbol

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References

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