Geodesic
A Lower Bound for the Number of Negative Zeros of Power Series
Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 47-52

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In this paper we are concerned with power series of the type 1 which admit unique analytic extension onto a domain containing the negative real axis. Our primary object is to establish a general theorem giving a lower estimate for the number of different zeros of (1) on the negative real axis. W. Jurkat and A. Peyerimhoff showed that for a certain class of coefficient functions a(z) the number of negative zeros of (1) is closely related to the behaviour of a(z) at z = 0. In particular they proved the following theorem [4, p. 219, Theorem 4]. 
Gawronski, W. A Lower Bound for the Number of Negative Zeros of Power Series. Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 47-52. doi: 10.4153/CMB-1979-007-5
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     title = {A {Lower} {Bound} for the {Number} of {Negative} {Zeros} of {Power} {Series}},
     journal = {Canadian mathematical bulletin},
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     year = {1979},
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