A note on exponent of convergence of zeros of entire functions |
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Authors: | B K Lahiri Dibyendu Banerjee |
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Institution: | (1) B-1/146, Kalyani, West Bengal, 741235, India;(2) Department of Mathematics, Visva Bharati University, Santiniketan, West Bengal, 731235, India |
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Abstract: | If f(z) is an entire function with ρ
1 > 0 as its exponent of convergence of zeros and if 0 ≤ α < ρ
1, then we prove the existence of entire functions each having α as its exponent of convergence of zeros.
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Keywords: | entire functions exponent of convergence of zeros |
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