Geodesic
Some Interpolators Properties of Laguerre Polynomials*
Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 559-571

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In 1955, J. Suranyi and P. Turán [8] introduced the nomenclature (0,2)-interpolation for the problem of finding polynomials of degree ≤ 2n-1whose values and second derivatives are prescribed in certain given nodes.In a series of papers ([2], [3], [8]) Professor Turán and his associatesdiscussed the problems of existence, uniqueness, explicit representation andconvergence of such interpolatory 2 polynomials when the nodes are the zerosof (1-x2) P′n- 1(x), Pn- 1(x) being theLegendre polynomial of degree n - 1. 
Prasad, J.; Saxena, R. B. Some Interpolators Properties of Laguerre Polynomials*. Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 559-571. doi: 10.4153/CMB-1967-054-6
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[1] 1. J., Balázs Sûlyozott, (0, 2 ) - interpolâciô ultraszfèrik us polinomok győkein. A. Magyar Tud. akad. Kozlemenyei vol XI (3) 1966 pp. 305-338. Google Scholar

[2] 2. Balázs, J., and Turan, P. Noteson interpolation II, Acta Math. Acad. Sci. Hung., 8 (1955) pp. 201-215. Google Scholar

[3] 3. J., Balázs and P., Turán Notes on interpolation III, ibid, 9 (1955) pp. 195-214. Google Scholar

[4] 4. Kis, O., On trigonometric interpolation (Russian) ibid 11 (1966) pp. 255-276. Google Scholar

[5] 5. K. K, Mathur and A., Sharma Some interpolatory properties of Hermite polynomials, ibid (12) (1966) pp. 192-207. Google Scholar

[6] 6. Sansone, G. Orthogonal functions, Inter. Oule, Inc. New York vol. 9 (1955) Google Scholar

[7] 7. Sharma, A. and A. K., Varma Trigonometric interpolation, Duke Math. Journal 32 (1966) pp. 341-357. Google Scholar

[8] 8. Suranyi, J. and P., Turán, Notes on interpolation I. Acta Math. Acad. Hung. 6 (1955) pp. 67-79. Google Scholar

[9] 9. Szego, G. Orthogonal Polynomials, Amer. Math. Soc. Collo. Pub. vol. 23 (1955). University of Alberta, Edmonton Lucknow University, Lucknow, India Google Scholar

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