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Characteristic relations for the ultraspherical polynomials

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References

  1. Madhava Rao, B. S. and Thiruvenkatachar, V. R. “On an inequality concerning orthogonal polynomials”Proc. Ind. Acad. Sci., 1949,29 A, 391–93.

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  2. Thiruvenkatachar, V. R. and Nanjundiah, T. S. “Inequalities concerning Bessel Functions and orthogonal polynomials,”Ibid.,, 1951,33 A, 373–84.

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  3. Danese, A. E. “Explicit evaluations of Turán expressions,”Annali di Mathematica pura ed applicata, Series, IV, 1955, Tome38, 339–48.

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  4. Venkatachaliengar, K. and Lakshmana Rao, S. K. “On Turán’s inequality for ultraspherical polynomials” (To be published inProc. Amer. Math. Society).

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, Bangalore-3

    S. K. Lakshmana Rao

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  1. S. K. Lakshmana Rao
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(Communicated by P. L. Bhatnagar,f.a.sc.)

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Rao, S.K.L. Characteristic relations for the ultraspherical polynomials. Proc. Indian Acad. Sci. 45, 172–176 (1957). https://doi.org/10.1007/BF03052719

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  • DOI: https://doi.org/10.1007/BF03052719

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