On the -norm of gegenbauer polynomials

HIGHLIGHTS

  • who: Damir Ferizović from the Graz University of Technology Institute of Analysis and Number Theory, Kopernikusgasse, II, Graz, Austria have published the article: On the -norm of Gegenbauer polynomials, in the Journal: (JOURNAL)

SUMMARY

    C(?) Gegenbauer polynomials, where n 1 ? ∈ IG ∶=(- 2, 0) ∪ (0, ∞) is called the index and n ∈ ℕ0 is the degree, are the coefficients of following power series expansion in ?: 2 -? (1 - 2x? + ? ) = ∞ ∑ ∫-1 Due to the close connection of zonal harmonics to Gegenbauer polynomials, similar integrals also appear in applications of determinantal point processes to energy estimates on spheres . . .

     

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