## Value distribution of lacunary power series and lacunary Fourier series: II. Analytic continuation of a class of functions |

### From inside the book

6 pages matching **half-plane of convergence** in this book

Where's the rest of this book?

Results 1-3 of 6

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

ANALYTIC CONTINUATION analytic functions arg P(t Binomial Series c e k complex lacunary Fourier continue g converges absolutely Cornell University define depending on q entire function entire plane equations fb(K finite number formula fractional Laurent series Green's formula half-plane of convergence highest homogeneous degree holomorphic functions infinite integer lacunary Fourier series lacunary power series lacunary series lckl Lemma Let P(t lm(w log q log+ lower bounds Math meromorphic functions Mi+1 nk+1 P(Rn p+l)R plane with possible polar coordinates polynomial positive number possible poles possible simple poles Proof Re(w Re(z real coefficients region region of convergence regular points satisfying sector sequence series development simply connected solution element Step sufficiently large Theorem 2.1 unit disk unit left vanishes variables Vp(K W.H.J. Fuchs Weiss wQ)J Zygmund