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Persymmetric Determinants whose Elements are the Integrals of Legendre's Polynomials


     

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In a paper on ' Determinants involving specified numbers,' three persymmetric determinants whose elements are integrals of Legendre's Polynomials were taken and their values given without proof.† In this paper, the missing proof and a general mode of evaluation are supplied along with a few more new results.
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  • Persymmetric Determinants whose Elements are the Integrals of Legendre's Polynomials

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Abstract


In a paper on ' Determinants involving specified numbers,' three persymmetric determinants whose elements are integrals of Legendre's Polynomials were taken and their values given without proof.† In this paper, the missing proof and a general mode of evaluation are supplied along with a few more new results.