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Some characterizations of Appell and q-Appell polynomials. (English) Zbl 0468.33007


MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33C05 Classical hypergeometric functions, \({}_2F_1\)
Full Text: DOI

References:

[1] Al-Salam, W. A., ℊ-Appell polynomials, Ann. Mat. Pura Appl. (4), 77, 31-45 (1967) · Zbl 0157.38901
[2] Appell, P., Une classe de polynômes, Ann. Sci. École Norm. Sup. (2), 9, 119-144 (1880) · JFM 12.0342.02
[3] Sheffer, I. M., Note on Appell polynomials, Bull. Amer. Math. Soc., 51, 739-744 (1945) · Zbl 0060.19212
[4] Srivastava, H. M., On ℊ-generating functions and certain formulas of David Zeitlin, Illinois J. Math., 15, 64-72 (1971) · Zbl 0205.35902
[5] Thorne, C. J., A property of Appell sets, Amer. Math. Monthly, 52, 191-193 (1945) · Zbl 0060.19213
[6] Varma, R. S., On Appell polynomials, Proc. Amer. Math. Soc., 2, 593-596 (1951) · Zbl 0043.07301
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