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Generalized Bessel functions for p-radial functions (2006)  (Make Corrections)  
Wolfgang zu Castell January 19, 2006



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Abstract: Suppose that d N and p > 0. In this paper, we study the generalized Bessel functions for the surface p = 1}, introduced by D.St.P. Richards. We derive a recurrence relation for these functions and utilize a series representation to relate them to the classical symmetric functions. These generalized Bessel functions are symmetric with respect to the action of the hyperoctahedral group W d , which is the symmetry group of the # p unit sphere. By means of this symmetry under W d , we... (Update)

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BibTeX entry:   (Update)

@misc{ castell-generalized,
  author = "Wolfgang Zu Castell",
  title = "Generalized Bessel functions for p-radial functions",
  url = "citeseer.ist.psu.edu/742042.html" }
Citations (may not include all citations):
492   Symmetric functions and Hall polynomials (context) - Macdonald - 1995
94   A treatise on the theory of Bessel functions (context) - Watson - 1996
64   Cambridge University Press (context) - Andrews, Askey et al. - 1999
38   Metric spaces and completely monotone functions (context) - Schoenberg - 1938
33   The special functions and their approximations (context) - Luke - 1969
13   Special functions of applied mathematics (context) - Carlson - 1977
5   Splines as linear combinations of B-splines (context) - de Boor - 1976
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4   Grundzuge der modernen Analysis (context) - Dieudonne - 1979
3   The calculus of finite di#erences (context) - Milne-Thomson - 1960
2   Positive definite symmetric functions on finite-dimensional .. (context) - St - 1985
2   Positive definite symmetric functions on finite dimensional .. (context) - St - 1986
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1   Interpolation with reflection invariant positive definite fu.. (context) - Castell - 2004
1   354-362 (context) - Zolotarev - 1994
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