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On the zeros of a certain class of polynomials and related analytic functions. (English) Zbl 0444.30006


MSC:

30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
26C10 Real polynomials: location of zeros
26D05 Inequalities for trigonometric functions and polynomials

Citations:

Zbl 0162.371
Full Text: DOI

References:

[1] Cargo, G. T.; Shisha, O., Zeros of Polynomials and fractional order differences of their coefficients, J. Math. Anal. Appl., 7, 176-182, 1963 · Zbl 0118.26102
[2] Govil, N. K.; Rahman, Q. I., On the Enestrom-Kakeya theorem, Tâhoku Math. J., 20, 126-136, 1968 · Zbl 0194.10201
[3] Krishnaiah, P. V., On Kakeya theorem, J. London Math. Soc., 30, 314-319, 1955 · Zbl 0066.05404
[4] Lax, P. D., Proof of a conjecture of P. Erdös on the derivative of a polynomial, Bull. Amer. Math. Soc., 50, 509-513, 1944 · Zbl 0061.01802
[5] Mohammad, Q. G., Location of the zeros of polynomials, Amer. Math. Monthly, 74, 290-292, 1967 · Zbl 0152.06101
[6] Marden, M., The geometry of the zeros of polynomials in a complex variable · Zbl 0038.15303
[7] Schaeffer, A. C., Inequalities of A. Markoff and S. Bernstein for polynomials and related functions, Bull. Amer. Math. Soc., 47, 565-579, 1941 · JFM 67.1001.02
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