An Evaluation of Rationally Weighted Binomial Sums Via Some Differential and Integral Operators

Author:

Stănică Andreea M.1,Stănică Gabriela N.2,Stănică Pantelimon2

Affiliation:

1. San Francisco VA Medical Center, Advanced Imaging Research Center, San Francisco, CA 94121, U.S.A.;

2. Naval Postgraduate School, Applied Mathematics Department, Monterey, CA 93943, U.S.A. Email address:

Publisher

Informa UK Limited

Reference17 articles.

1. G. Dresden and Y. Xiao Weighted sums of Fibonacci and Lucas numbers through colorful tilings The Fibonacci Quarterly 60.2 (2022) 126–135.

2. S. Epsteen Problem AL-218 American Math. Monthly 11.12 (1904) 240.

3. B. F. Finkel Problem AL-320 American Math. Monthly 16.3 (1909) 55.

4. N. Gauthier Fibonacci sums of the type Σ rmFm Math. Gazette 79 (1995) 364–367.

5. N. Gauthier Derivation of a formula for Σ rkxr The Fibonacci Quarterly 27.5 (1989) 402–408.

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