References

RANK OF SUBMATRICES OF THE PASCAL MATRIX


[1] G. D. Birkhoff, General mean value and remainder theorems with applications to mechanical differentiation and integration, Trans. Amer. Math. Soc. 1 (1906), 107-136.

[2] D. Ferguson, The question of uniqueness for G. D. Birkhoff interpolation problems, J. Approx. Th. 2 (1969), 1-28.

[3] S. Kersey, Invertibility of submatrices of the Pascal matrix and Birkhoff interpolation, Journal of Mathematical Sciences: Advances and Applications 41 (2016), 45-56.

[4] F. Palacios-Quiñonero, P. Rubió-Díaz, J. Díaz-Barrero and J. Rossell, Order regularity of two-node Birkhoff interpolation with lacunary polynomials, Applied Mathematics Letters 22 (2009), 386-389.

[5] F. Palacios-Quiñonero, P. Rubió-Díaz, J. Díaz-Barrero and J. Rossell, Order of regularity for Birkhoff interpolation with lacunary polynomials, Mathematica Aeterna 1(3) (2011), 129-135.

[6] G. Pölya, Bemerkungen zur Interpolation und zur Näherungstheorie der Balkenbiegung, Z. Angew. Math. Mech. 11 (1931), 4445-4449.

[7] J. M. Whittaker, Interpolatory Function Theory, Cambridge University Press, London, 1935.