The Journal of the Indian Mathematical Society

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A General Formula for the Moments of the Hypergeometrical Series


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1 Mysore, India
     

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In 1924, Prof. Pearson gave a recurrence formula for the successive moments of the Hypergeometrical series about its mean and suggested the possibility of deriving a general expression for a moment of any order by determinants. In this paper we obtain such an expression which is perhaps more useful for direct numerical calculation than Prof. Romanovsky's formula.
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  • A General Formula for the Moments of the Hypergeometrical Series

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Abstract


In 1924, Prof. Pearson gave a recurrence formula for the successive moments of the Hypergeometrical series about its mean and suggested the possibility of deriving a general expression for a moment of any order by determinants. In this paper we obtain such an expression which is perhaps more useful for direct numerical calculation than Prof. Romanovsky's formula.