Geodesic
Mercerian Conditions for the Method (F, dn )
Canadian journal of mathematics, Tome 23 (1971) no. 6, pp. 1078-1085

Voir la notice de l'article provenant de la source Cambridge University Press

This paper sets forth conditions sufficient that the generalized Lototsky method (F, dn) be regular and Mercerian. If the dn's are real and of constant sign, then the conditions are also necessary. Moreover, it follows that if f is a polynomial, then under the same conditions the method (f ,dn) is equivalent to the Sonnenschein method generated by f . Various related results are also given. Definition 2.1. Let f be a nonconstant function holomorphic on the closed unit disk and let be a complex sequence with f (l) + dn ≠ 0. Suppose 
Skerry, H. B. Mercerian Conditions for the Method (F, dn ). Canadian journal of mathematics, Tome 23 (1971) no. 6, pp. 1078-1085. doi: 10.4153/CJM-1971-111-7
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