Generating functions for products of recursive sequences
HTML articles powered by AMS MathViewer
- by David Zeitlin PDF
- Trans. Amer. Math. Soc. 116 (1965), 300-315 Request permission
References
- David Zeitlin, Two methods for the evaluation of $\sum ^{\infty }_{k=0}\,k^{n}x^{k}$, Amer. Math. Monthly 68 (1961), 986–989. MR 131687, DOI 10.2307/2311808 C. Jordan, Calculus of finite differences, Chelsea, New York, 1960.
- L. Carlitz, Generating functions for powers of certain sequences of numbers, Duke Math. J. 29 (1962), 521–537. MR 140476, DOI 10.1215/S0012-7094-62-02953-8
- Dov Jarden and Theodor Motzkin, The product of sequences with a common linear recursion formula of order 2, Riveon Lematematika 3 (1949), 25–27, 38 (Hebrew, with English summary). MR 30009
- Dov Jarden, Recurring sequences: a collection of papers, Riveon Lematematika, Jerusalem, 1958. MR 0098201
- John Riordan, Generating functions for powers of Fibonacci numbers, Duke Math. J. 29 (1962), 5–12. MR 132023
- H. W. Gould, A series transformation for finding convolution identities, Duke Math. J. 28 (1961), 193–202. MR 123895 L. E. Dickson, History of the theory of numbers, Vol. 1, Chelsea, New York, 1952.
- David Zeitlin, On identities for Fibonacci numbers, Amer. Math. Monthly 70 (1963), 987–991. MR 155789, DOI 10.2307/2313063 I. J. Schwatt, An introduction to the operations with series, Chelsea, New York, 1962.
- Leonard Carlitz, Note on a paper of Shanks, Amer. Math. Monthly 59 (1952), 239–241. MR 47595, DOI 10.2307/2306513
- F. H. Northover, R. C. Read, and Immanuel Marx, Advanced Problems and Solutions: Solutions: 4835, Amer. Math. Monthly 67 (1960), no. 1, 89. MR 1530597, DOI 10.2307/2308950 A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, Vol. 1, McGraw-Hill, New York, 1953.
- János Surányi, On a problem of old Chinese mathematics, Publ. Math. Debrecen 4 (1956), 195–197. MR 78942 L. Carlitz, Review of On a problem of old Chinese mathematics, Math. Reviews 18 (1957), 4.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 116 (1965), 300-315
- MSC: Primary 40.10
- DOI: https://doi.org/10.1090/S0002-9947-1965-0185301-0
- MathSciNet review: 0185301