Geodesic
Functions of Exponential Type are Differences of Functions of Bounded Index
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 479-483

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

The notion of entire function of Bounded Index is by now well established. It may be stated as follows.An entire function f(z) is said to be of Bounded Index if for some fixed s for all n and all z. (See [1], [2].) 
Shah, Shantilal N. Functions of Exponential Type are Differences of Functions of Bounded Index. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 479-483. doi: 10.4153/CMB-1977-071-1
@article{10_4153_CMB_1977_071_1,
     author = {Shah, Shantilal N.},
     title = {Functions of {Exponential} {Type} are {Differences} of {Functions} of {Bounded} {Index}},
     journal = {Canadian mathematical bulletin},
     pages = {479--483},
     year = {1977},
     volume = {20},
     number = {4},
     doi = {10.4153/CMB-1977-071-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-071-1/}
}
TY  - JOUR
AU  - Shah, Shantilal N.
TI  - Functions of Exponential Type are Differences of Functions of Bounded Index
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 479
EP  - 483
VL  - 20
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-071-1/
DO  - 10.4153/CMB-1977-071-1
ID  - 10_4153_CMB_1977_071_1
ER  - 
%0 Journal Article
%A Shah, Shantilal N.
%T Functions of Exponential Type are Differences of Functions of Bounded Index
%J Canadian mathematical bulletin
%D 1977
%P 479-483
%V 20
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-071-1/
%R 10.4153/CMB-1977-071-1
%F 10_4153_CMB_1977_071_1

[1] 1. Fricke, G. H. Functions of Bounded Index and Their Logarithmic Derivatives, Math. Ann. 206, 215-223.(1973). Google Scholar

[2] 2. Hayman, W. K. Differential Inequalities and Local Valency, Pac. Jour, of Math. Vol. 44, No. 1 (1973). Google Scholar

[3] 3. Pugh, W. Sum of Functions of Bounded Index. Proc. Amer. Math. Soc. 22, No. 2 (1969). Google Scholar

[4] 4. Shah, S. M. Entire Functions of Bounded Index. Proc. Amer. Math. Soc. 19, 1017-1022.(1968). Google Scholar

[5] 5. Shah, S. M. and Shah, S. N. A New Class of Functions of Bounded Index, Trans. Amer. Math. Soc, Vol. 173, November 1972, 363-377. Google Scholar

Cité par Sources :