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The limiting form for small cf> values of the sums whe re r is an int ege r and j3" is th e nth zero of th e Besse l fun ction } o(x), have bee n obta in ed. Rela te d fun c tions which arise in these proble ms are al so cons ide re d.doi:10.6028/jres.068b.004 fatcat:576tkewfqffpbp3kza73idue7y