A unified theory of regularly varying sequences

1. Baumann, H.: Umkehrsätze für das asymptotische Verhalten linearer Folgentransformationen. Math. Z.98, 140–178 (1967) =Théoremes d'inversion relatifsau comportement asymptotique des transformations des suites. Thèse, Université de Genève.

   Google Scholar 

2. Bojanić, R., Karamata, J.: On slowly varying functions and asymptotic relations. Math. Res. Centre Tech. Summary Report 432. Madison:University of Wisconsin 1963

   Google Scholar 

3. Bojanić, R., Seneta, E.: Slowly varying functions and asymptotic relations. J. math. Analysis Appl.34, 303–315 (1971)

   Google Scholar 

4. Croft, H. T.: A question of limits. Eureka,20, 11–13 (1957)

   Google Scholar 

5. Galambos, J., Seneta, E.: Regularly varying sequences, to appear in Proc. Amer. math. Soc. (More extensively as: Tech. Report29, Series 2, Department of Statistics, Princeton University, 1973)

6. Higgins, R.: A note on a problem in the theory of sequences, to appear in Elemente Math.

7. Karamata, J.: Sur certains “Tauberian theorems” de M.M.Hardy et Littlewood. Mathematica Cluj,3, 33–48 (1930)

   Google Scholar 

8. Karamata, J.: Sur un mode de croissance réguliere des fonctions. Mathematica, Cluj,4, 38–53 (1930)

   Google Scholar 

9. Karamata, J.: Sur un mode de croissance réguliere. Théorèmes fondamentaux. Bull. Soc. math. France,61, 55–62 (1933)

   Google Scholar 

10. Kingman, J. F. C.: Ergodic properties of continuous-time Markov processes and their discrete skeletons. Proc. London math. Soc., III. Ser.13, 593–604 (1963)

    Google Scholar 

11. Lamperti, J.: Limiting distributions for branching processes. In: Proc. 5th Berkeley Symp. on Math. Stat. and Prob., Vol. II, Part 2, pp. 225–241 (ed. L. le Cam and J. Neyman). Berkeley and Los Angeles:University of California Press (1967)

    Google Scholar 

12. Polya, G.: Bemerkungen über unendliche Folgen und ganze Funktionen. Math. Ann.88, 169–183 (1923)

    Google Scholar 

13. Schmidt, R.: Über divergente Folgen und lineare Mittelbildungen Math. Z.22, 89–152 (1925)

    Google Scholar 

14. Schur, I.: Zur Theorie der Cesaroschen und Holderschen Mittelwerte. Math. Z.31, 391–407 (1930)

    Google Scholar 

15. Slack, R. S.: Further notes on branching processes with mean 1. Z. Wahrscheinlichkeitstheorie verw. Gebiete,25, 31–38 (1973)

    Google Scholar 

16. Vuilleumier, M.: Comportement asymptotique des transformations linéaires des suites. Thèse, Université de Genève

17. Vuilleumier, M.: Sur le comportement asymptotique des transformations linéaires des suites. Math. Z.98, 126–139 (1967)

    Google Scholar 

18. Zygmund, A.: Trigonometric Series. Vol. 1. Cambridge:University Press (1968)

    Google Scholar 

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