@article{FAA_1989_23_4_a1,
author = {V. M. Buchstaber and A. N. Kholodov},
title = {Boas{\textendash}Buck structures on sequences of polynomials},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {11--23},
year = {1989},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a1/}
}
V. M. Buchstaber; A. N. Kholodov. Boas–Buck structures on sequences of polynomials. Funkcionalʹnyj analiz i ego priloženiâ, Tome 23 (1989) no. 4, pp. 11-23. http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a1/
[1] Boas R.P., Buck R.C., Polynomial expansion of analytic functions, Springer, Berlin, 1958. | MR | Zbl
[2] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 1., Nauka, M., 1973
[3] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 3, Nauka, M., 1967 | MR
[4] Voevodin V.V., Tyrtyshnikov E.E., “Vychisleniya s teplitsevymi matritsami”, Vychislitelnye protsessy i sistemy. I., Nauka, M., 1983, 124–266 | MR
[5] Ismail M.E.H., “On obtaining generating functions of Boas and Buck type for orthogonal polynomials”, SIAM J. Math. Anal., 5 (1974), 202–208 | DOI | MR | Zbl
[6] Rainville D.E., Special functions, Macmilan Co., N.-Y., 1960 | MR | Zbl
[7] Roman S., The umbral calculus, A.P., N.-Y., 1984 | MR
[8] Roman S., “The theory of the umbral calculus. I”, J. Math. Anal. Appl., 87 (1982), 58–115 | DOI | MR | Zbl
[9] Roman S., “The theory of the umbral calculus. III”, J. Math. Anal. Appl., 95 (1983), 528–563 | DOI | MR | Zbl
[10] Roman S., Rota G.-C., “The umbral calculus”, Adv. Math., 27 (1978), 95–188 | DOI | MR | Zbl
[11] Rota G.-C., Kahaner D., Odlyzko A., “On the foundations of combinatorial theory. VIII. Finite operator calculus”, J. Math. Anal. Appl., 42 (1973), 685–760 | DOI | MR
[12] Rota G.-C., Finite operator calculus, A.P., N.-Y., 1975 | MR
[13] Goldberg J.L., “A note on polynomials generated by $A(t)\Psi(xH(t))$”, Duke Math. J., 32 (1965), 643–651 | DOI | MR | Zbl
[14] Viskov O.V., “Operatornaya kharakterizatsiya obobschennykh polinomov Appelya”, DAN SSSR, 225 (1975), 749–752 | MR | Zbl