On spectral identities involving Gegenbauer polynomials
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
Link
http://link.springer.com/article/10.1007/s41478-019-00163-7/fulltext.html
Reference9 articles.
1. Awonusika, R.O., and A. Taheri. 2017. On jacobi polynomials $$(\mathscr {P}_k^{(\alpha, \beta )}: \alpha, \beta >-1)$$ ( P k ( α , β ) : α , β > - 1 ) and Maclaurin spectral functions on rank one symmetric spaces. The Journal of Analysis 25: 139–166.
2. Awonusika, R.O., and A. Taheri. 2017. On Gegenbauer polynomials and coefficients $$c^{\ell }_{j}(\nu )$$ c j ℓ ( ν ) ( $$1\le j\le \ell$$ 1 ≤ j ≤ ℓ , $$\nu >-1/2$$ ν > - 1 / 2 ). Results in Mathematics 72: 1359–1367.
3. Awonusika, R.O. 2018. Special function representations of the Poisson kernel on hyperbolic spaces. Journal of Mathematical Chemistry 56: 825–849.
4. Awonusika, R.O., and A. Taheri. 2018. A spectral identity on Jacobi polynomials and its analytic implications. Canadian Mathematical Bulletin 61: 473–482.
5. Gradshtejn, I.S., and I.M. Ryzhik. 2007. Table of integrals, series and products. Cambridge: Academic Press.
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3. On Jacobi polynomials $${\mathscr {P}}_{k}^{(\alpha ,\beta )}$$ and coefficients $$c_{j}^{\ell }(\alpha ,\beta )$$ $$\left( k\ge 0, \ell =5,6; 1\le j\le \ell ; \alpha ,\beta > -1\right)$$;The Journal of Analysis;2020-10-06
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