Stable functions and Vietoris' theorem

Journal of Mathematical Analysis and Applications

Volumn 291, Issue 2, 2004, Pages 596-604

  Ruscheweyh, Stephan ^a   Salinas, Luis ^b  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

Computer algebra; Gegenbauer polynomials; n stable functions; Stable functions; Subordination

Indexed keywords

EID: 1542511219     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.11.035     Document Type: Article

References (6)

1. R. Askey, Orthogonal Polynomials and Special Function, in: Regional Conf. Lect. Appl. Math., vol. 21, SIAM, Philadelphia, 1975.
2. R. Askey, J. Steinig, Some positive trigonometric sums, Trans. Amer. Math. Soc. 187 (1974) 295-307.
3. St. Ruscheweyh, On the Kakeya-Eneström theorem and Gegenbauer polynomial sums, SIAM J. Math. Anal. 9 (1978) 682-686.
4. St. Ruscheweyh, L. Salinas, On starlike functions of order λ ∈ [1/2, 1}, Ann. Univ. Mariae Curie-Skłodwska 54 (2000) 117-123.
5. L. Vietoris, Über das Vorzeichen gewisser trigonometrischer Summen, Sitzungsber. Österr. Akad. Wiss. 167 (1958) 125-135.
6. Wolfram Research, Inc., Mathematica, Version 4.1, Champaign, IL, 1999.