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Completely monotone sequences and universally prestarlike functions

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Abstract

We introduce universally convex, starlike and prestarlike functions in the slit domain ℂ [1, ∞), and show that there exists a very close link to completely monotone sequences and Pick functions.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Würzburg, D-97074, Würzburg, Germany

    Stephan Ruscheweyh

  2. Departamento de Informática, Universidad Técnica F. Santa María, Valparaíso, Chile

    Luis Salinas

  3. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    Toshiyuki Sugawa

  4. Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan

    Toshiyuki Sugawa

Authors
  1. Stephan Ruscheweyh
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  2. Luis Salinas
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  3. Toshiyuki Sugawa
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Corresponding author

Correspondence to Stephan Ruscheweyh.

Additional information

S. R. and L. S. received partial support from FONDECYT (grants 1070269 and 7080064) and DGIP-UTFSM (grant 240954).

S. R. acknowledges partial support also from the German-Israeli Foundation (grant G-809-234.6/2003) and a JSPS Grant-in-Aid for Scientific Research (A), 17204010.

T. S. was partially supported by JSPS Grant-in-Aid for Scientific Research (B), 17340039.

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Ruscheweyh, S., Salinas, L. & Sugawa, T. Completely monotone sequences and universally prestarlike functions. Isr. J. Math. 171, 285–304 (2009). https://doi.org/10.1007/s11856-009-0050-9

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  • DOI: https://doi.org/10.1007/s11856-009-0050-9

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