Geodesic
A Further Note on Lototsky-Type Transformations
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 221-224

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

In two recent papers by V. F. Cowling and C. L. Miracle (1; 2), the regularity of generalized Lototsky transformations, as well as their application to the geometric series, has been investigated. The main interest of the papers centres around (1, Theorems 3.1 and 4.1) and (2, Theorem A). In (1, Theorem 3.1) and in (2, Theorem A), the authors stated and proved a set of sufficient conditions for the regularity of Lototsky-type transformations. In (1, Theorem 4.1), they proved under certain additional conditions that these transformations sum the geometric series ∑zn to (1 — z)–l if Re z < 1. 
Meir, A. A Further Note on Lototsky-Type Transformations. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 221-224. doi: 10.4153/CJM-1966-024-x
@article{10_4153_CJM_1966_024_x,
     author = {Meir, A.},
     title = {A {Further} {Note} on {Lototsky-Type} {Transformations}},
     journal = {Canadian journal of mathematics},
     pages = {221--224},
     year = {1966},
     volume = {18},
     number = {1},
     doi = {10.4153/CJM-1966-024-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-024-x/}
}
TY  - JOUR
AU  - Meir, A.
TI  - A Further Note on Lototsky-Type Transformations
JO  - Canadian journal of mathematics
PY  - 1966
SP  - 221
EP  - 224
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-024-x/
DO  - 10.4153/CJM-1966-024-x
ID  - 10_4153_CJM_1966_024_x
ER  - 
%0 Journal Article
%A Meir, A.
%T A Further Note on Lototsky-Type Transformations
%J Canadian journal of mathematics
%D 1966
%P 221-224
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-024-x/
%R 10.4153/CJM-1966-024-x
%F 10_4153_CJM_1966_024_x

[1] 1. Cowling, V. F. and Miracle, C. L., Some results for the generalized Lctotsky transform, Can. J. Math., 14 (1962), 418–435. Google Scholar

[2] 2. Cowling, V. F. and Miracle, C. L., Corrections to and remarks on some results for the generalized Lototsky transform, Can. J. Math., 16 (1964), 423–428. Google Scholar

[3] 3. Jakimovski, A., A generalization cf the Lototsky method of summability, Mich. Math. J., 6 (1959), 277–290. Google Scholar

[4] 4. Meir, A., On the [F, d]-transformations of A. Jakimovski, Bull. Res. Council Israel, 10F4 (1962), 165–187. Google Scholar

[5] 5. Meir, A., On two problems concerning the generalized Lototsky transforms, Can. J. Math., 16 (1964), 339–342. Google Scholar

Cité par Sources :