Geodesic
Analogues of Entire Function Inequalities for an Analytic Function
Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 286-293

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

1. Let be an analytic function with radius of convergence R (0 < R < ∞). Set and let the order p and lower order ⋋ of f(z) be defined by where x = Rr/(R — r). If 0 < ᑭ < ∞, we define the type T and lower type t of f(z) by Also, if 0 < ᑭ < ∞, define the “growth numbers” γ and δ by The purpose of our discussion will be to obtain some inequalities involving the growth constants defined above. 
Bajpai, S. K.; Tanne, Joseph. Analogues of Entire Function Inequalities for an Analytic Function. Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 286-293. doi: 10.4153/CJM-1975-035-2
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[1] 1. Fricke, G. H., Shah, S. M., and Sisarcick, W. C., A characterization of entire functions of exponential type and M-bounded index (to appear). Google Scholar

[2] 2. Lakshminarasimhan, T. V., Inequalities between means involving an entire function or its real part and means involving the derived function, J. Math. Anal. Appl. 27 (1969), 624–635. Google Scholar

[3] 3. Shah, S. M., The maximum term of an entire series 111, Quart. J. Math. Oxford Ser. 19 (1948), 220–223. Google Scholar

[4] 4. Singh, S. K., On the maximum term and the rank of an entire function, Acta Math. 94 (1955), 1–11. Google Scholar

[5] 5. Sons, L. R., Regularity of growth and gaps, J. Math. Anal. Appl. 24 (1968), 296–306. Google Scholar

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