Geodesic
Some Properties of a Certain set of Interpolating Polynomials
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 529-537

Voir la notice de l'article provenant de la source Cambridge University Press

A Lidstone series provides a (formal) two-point expansion of a given function f(x) in terms of its derivatives of even order at the nodes 0 and 1 and takes the form. 
Leeming, David J. Some Properties of a Certain set of Interpolating Polynomials. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 529-537. doi: 10.4153/CMB-1975-096-x
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[1] 1. Al-Salaam, W. and Verma, A., Generalized Sheffer polynomials, Duke Math. J. 37 (1970), 361–365. Google Scholar

[2] 2. Carlitz, L., Note on the coefficients of cosh x/cos x, Mathematics Magazine, 32 (1955), 132 and 136. Google Scholar

[3] 3. Carlitz, L., The Coefficients o/cosh x/cos x, Monatshefte fur Mathematik, 69 (1965), 129–135. Google Scholar

[4] 4. Leeming, D. J., A generalization of completely convex functions and related problems, Ph.D. Thesis, 1969. Google Scholar

[5] 5. Norlund, N. E., Vorlesungen uber Differenzenrechnung, Chelsea, New York, 1954. Google Scholar

[6] 6. Osegov, V. B., Some extremal properties of generalized Appell polynomials, Soviet Maths. 5 (1964), 1651–1653. Google Scholar

[7] 7. Pethe, S. P. and Sharma, A., Modified Abel expansion and a subclass of completely convex functions, SIAM J. Math. Anal., 3 (1972), 546–558. Google Scholar

[8] 8. Ryser, H. J., Combinatorial Mathematics, published by The Mathematical Association of America, distributed by John Wiley and Sons, Inc., New York, 1963. Google Scholar

[9] 9. Schoenberg, I. J., On certain two point expansions of integral functions of exponential type, Bull. Amer. Math. Soc, 42 (1936), 284–288. Google Scholar

[10] 10. Whittaker, J. M., On Lidstone series and two point expansions of analytic functions, Proc. London Math. Soc, 36 (1934), 451–469. Google Scholar

[11] 11. Widder, D. V., Completely convex functions and Lidstone series, Trans. Amer. Math. Soc. 51 (1942), 387–398. Google Scholar

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