Zeros of Bernoulli, Generalized Bernoulli, and Euler Polynomials.

Intro -- Table of Contents -- Introduction -- 1. Preliminaries -- 1.1. Bernoulli polynomials -- 1.2. Generalized Bernoulli polynomials -- 1.3. Euler polynomials -- 2. Maximum modulus of zeros -- 2.1. The normalized polynomials -- 2.2. The Eneström-Kakeya Theorem -- 2.3. Behaviour of the S[sub(x)](a) -- 2.4. Behaviour of the a[sup((n))][sub(j)] -- 2.5. Conclusion of the proof -- 2.6. Special cases -- 2.7. The minimum modulus -- 3. Zero-free strips -- 3.1. Strips for Bernoulli polynomials -- 3.2. Strips of increasing width -- 3.3. Other zero-free regions -- 3.4. Generalized Bernoulli polynomials -- 4. Parabolic zero-free regions -- 4.1. Sections of the sine and cosine functions -- 4.2. Zero-free regions for the T[sub(n)](x) -- 4.3. Zero-free regions for B[sub(n)](x) and B[sup(n)][sub(X)](x) -- 4.4. Sharpness -- 5. Real zeros -- 5.1. The case n ≡ δ (mod 2) -- 5.2. The case n [omitted] δ (mod 2) -- Tables -- References.

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