An addition formula for hyperbolic space

E. Bannai; A. Blokhuis; J.J. Seidel; Ph. Delsarte

doi:10.1016/0097-3165(84)90040-2

An addition formula for hyperbolic space

E. Bannai
, A. Blokhuis
, J.J. Seidel
, Ph. Delsarte

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

Abstract

The addition formula for Gegenbauer polynomials on the Euclidean sphere is generalized to the unit hyperboloid. Applications are given in terms of new bounds on the cardinality of few-distance sets in Lobatchevski space.

Original language	English
Pages (from-to)	332-341
Journal	Journal of Combinatorial Theory, Series A
Volume	36
Issue number	3
DOIs	https://doi.org/10.1016/0097-3165(84)90040-2
Publication status	Published - 1984

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title = "An addition formula for hyperbolic space",

abstract = "The addition formula for Gegenbauer polynomials on the Euclidean sphere is generalized to the unit hyperboloid. Applications are given in terms of new bounds on the cardinality of few-distance sets in Lobatchevski space.",

author = "E. Bannai and A. Blokhuis and J.J. Seidel and Ph. Delsarte",

year = "1984",

doi = "10.1016/0097-3165(84)90040-2",

language = "English",

volume = "36",

pages = "332--341",

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T1 - An addition formula for hyperbolic space

AU - Bannai, E.

AU - Blokhuis, A.

AU - Seidel, J.J.

AU - Delsarte, Ph.

PY - 1984

Y1 - 1984

N2 - The addition formula for Gegenbauer polynomials on the Euclidean sphere is generalized to the unit hyperboloid. Applications are given in terms of new bounds on the cardinality of few-distance sets in Lobatchevski space.

AB - The addition formula for Gegenbauer polynomials on the Euclidean sphere is generalized to the unit hyperboloid. Applications are given in terms of new bounds on the cardinality of few-distance sets in Lobatchevski space.

U2 - 10.1016/0097-3165(84)90040-2

DO - 10.1016/0097-3165(84)90040-2

M3 - Article

SN - 0097-3165

VL - 36

SP - 332

EP - 341

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 3

ER -

An addition formula for hyperbolic space

Abstract

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