A 𝑞-binomial coefficient series transform

Gould, H. W.

doi:10.1090/S0002-9904-1960-10464-8

Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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A $q$-binomial coefficient series transform
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Bull. Amer. Math. Soc. 66 (1960), 383-387

References

L. Carlitz, $q$-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948), 987–1000. MR 27288, DOI 10.1215/S0012-7094-48-01588-9
H. W. Gould, Some generalizations of Vandermonde’s convolution, Amer. Math. Monthly 63 (1956), 84–91. MR 75170, DOI 10.2307/2306429
H. W. Gould, Final analysis of Vandermonde’s convolution, Amer. Math. Monthly 64 (1957), 409–415. MR 87621, DOI 10.2307/2310165
F. H. Jackson, $q$-Difference Equations, Amer. J. Math. 32 (1910), no. 4, 305–314. MR 1506108, DOI 10.2307/2370183

Additional Information

Journal: Bull. Amer. Math. Soc. 66 (1960), 383-387
DOI: https://doi.org/10.1090/S0002-9904-1960-10464-8
MathSciNet review: 0118995