A factorisation of the Askey’s characteristic function $(1-\left\Vert t\right\Vert _{2n+1})^{n+1}_+$

Letac, G.; Rahman, Q. I.

A factorisation of the Askey’s characteristic function

{(1 - {∥t∥}_{2 n + 1})}_{+}^{n + 1}

Letac, G. ; Rahman, Q. I.

Annales de l'I.H.P. Probabilités et statistiques, Tome 22 (1986) no. 2, pp. 169-174

Zbl

@article{AIHPB_1986__22_2_169_0,
     author = {Letac, G. and Rahman, Q. I.},
     title = {A factorisation of the {Askey{\textquoteright}s} characteristic function $(1-\left\Vert t\right\Vert _{2n+1})^{n+1}_+$},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {169--174},
     year = {1986},
     publisher = {Gauthier-Villars},
     volume = {22},
     number = {2},
     zbl = {0601.60019},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_1986__22_2_169_0/}
}

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Letac, G.; Rahman, Q. I. A factorisation of the Askey’s characteristic function $(1-\left\Vert t\right\Vert _{2n+1})^{n+1}_+$. Annales de l'I.H.P. Probabilités et statistiques, Tome 22 (1986) no. 2, pp. 169-174. https://www.numdam.org/item/AIHPB_1986__22_2_169_0/

Bibliographie
Cité par

[1] R. Askey, Radial characteristic functions. Mathematical Research Center, University of Wisconsin, Madison. Technical summary report n° 1262, Nov. 1973.

[2] W. Feller, An Introduction to Probability Theory and its Applications, t. 2, 1st edition, Wiley, New York, 1966. | Zbl | MR

[3] G. Letac, Intégration, Mesures, Analyse de Fourier et Probabilités. Exercices. Masson, Paris, 1983. | MR

[4] M. Marden, Geometry of Polynomials. Math. Surveys n° 3, American Mathematical Society, 1966. | Zbl | MR

[5] W.J. Rudin, Fourier Analysis on Groups. Interscience, Wiley, New York, 1963. | Zbl