# 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)
• Accepted : 2018.02.18
• Published : 2018.03.25
• 130 3

#### 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

#### References

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