On the zeros of an analytic function
Journal Title: Journal of Mathematics and Applications - Year 2014, Vol 37, Issue
Abstract
Kuniyeda, Montel and Toya had shown that the polynomial p(z) = [formula]; a_0 ≠ 0, of degree n, does not vanish in [formula], where p > 1, q > 1, (1/p) + (1/q) = 1 and we had proved that p(z) does not vanish in [formula], where [formula], [formula], [formula], a refinement of Kuniyeda et al.'s result under the assumption [formula]. Now we have obtained a generalization of our old result and proved that the function [formula] analytic in |z| ≤ 1, does not vanish in [formula], where [formula], [formula], [formula], m = any positive integer with the characteristic that there exists a positive integer k ( ≤ m) with a_k ≠ 0.
Authors and Affiliations
V. K. Jain
Keywords
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- DOI 10.7862/rf.2014.5
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