Geodesic
The Maximum Term and the Rank of an Entire Function
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 257-261

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

1. For an entire function , let M(r, f), μ(r, f), and v(r, f) denote the maximum modulus, the maximum term, and the rank for |z\ = r, respectively. Also, let and λ(r) the lower proximate order relative to log M(r, f). For the properties of the lower proximate order, we refer the reader to the paper by Shah (1). 2. We prove the following theorems.THEOREM 1. For an entire function where μ(r, f 1) and M(r, f 1) correspond to f l(z), the derivative of f(z), provided (n + l)Rn > nR n+1, when L(f) > 1. 
Sreenivasulu, V. The Maximum Term and the Rank of an Entire Function. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 257-261. doi: 10.4153/CJM-1969-026-0
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[1] 1. Shah, S. M., A note on lower proximate orders, J. Indian Math. Soc. (N.S.) 12 (1948), 31–32. Google Scholar

[2] 2. Valiron, G., Lectures on the general theory of integral functions, Translated by Collingwood, E. F. (Imprimerie et Librairie, Edouere Privât, Toulouse, 1923). Google Scholar

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