The Journal of the Indian Mathematical Society

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On Integral Functions of Finite Order and Minimal Type


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1 Madras University, India
     

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Let [zn] be a sequence of distinct complex numbers such that [zn|→∞ as n→∞. It is supposed that [zn] are arranged according to non-decreasing moduli, the numbers with the same modulus being arranged according to their amplitudes. We shall refer to the exponent of convergence p of [zn] as its order. We suppose 0 < p < ∞. Let σ(z) be the canonical product with simple zeros at zn.
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  • On Integral Functions of Finite Order and Minimal Type

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Authors

V. Ganapathy Iyer
Madras University, India

Abstract


Let [zn] be a sequence of distinct complex numbers such that [zn|→∞ as n→∞. It is supposed that [zn] are arranged according to non-decreasing moduli, the numbers with the same modulus being arranged according to their amplitudes. We shall refer to the exponent of convergence p of [zn] as its order. We suppose 0 < p < ∞. Let σ(z) be the canonical product with simple zeros at zn.