A note on generating functions for Hausdorff moment sequences

Author:

Roth Oliver,Ruscheweyh Stephan,Salinas Luis

Abstract

For functions f f whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of w ( y ) := | f ( γ + i y ) | w(y):=|f(\gamma +iy)| for y > 0 y>0 ( γ 1 \gamma \leq 1 fixed).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

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2. Summationsmethoden und Momentfolgen. I;Hausdorff, Felix;Math. Z.,1921

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4. S. Ruscheweyh, L. Salinas, and T. Sugawa, Completely monotone sequences and universally prestarlike functions, preprint 2007.

5. Über totalmonotone Zahlenfolgen;Wirths, Karl-Joachim;Arch. Math. (Basel),1975

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Completely monotone sequences and harmonic mappings;Annales Fennici Mathematici;2022-01-02

2. On generating functions of Hausdorff moment sequences;Transactions of the American Mathematical Society;2016-02-02

3. Distributed order derivatives and relaxation patterns;Journal of Physics A: Mathematical and Theoretical;2009-07-13

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