Research Article

Abel's Convolution Formulae through Taylor Polynomials

Volume: 5 Number: 2 November 30, 2023
EN

Abel's Convolution Formulae through Taylor Polynomials

Abstract

By making use of the Taylor polynomials, new proofs are presented for three binomial identities including Abel’s convolution formula.

Keywords

References

  1. N. H. Abel, Beweis eines Ausdrucks, von welchem die Binomial–Formel ein einzelner Fall ist, J. Reine Angew. Math. 1 (1826), 159–160.
  2. W. Chu, Inversion techniques and combinatorial identities: A quick introduction to hypergeometric evaluations, Math. Appl. 283 (1994), 31–57.
  3. W. Chu, Generating functions and combinatorial identities, Glas. Mat. 33 (1998), 1–12.
  4. W. Chu, Elementary Proofs for Convolution Identities of Abel and Hagen–Rothe, Electron. J. Combin. 17 (2010), N24.
  5. W. Chu, Finite differences and terminating hypergeometric series, Bull. Irish Math. Soc. 78 (2016), 31–45.
  6. W. Chu and L. C. Hsu, Some new applications of Gould-Hsu inversions, J. Combin. Inf. Syst. Sci. 14:1 (1990), 1–4.
  7. L. Comtet, Advanced Combinatorics, Dordrecht–Holland, The Netherlands, 1974.
  8. G. P. Egorychev, Integral Representation and the Computation of Combinatorial Sums, Translated from the Russian by H. H. McFadden: Translations of Mathematical Monographs 59; American Mathematical Society, Providence, RI, 1984. 286pp.

Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Early Pub Date

November 30, 2023

Publication Date

November 30, 2023

Submission Date

June 14, 2023

Acceptance Date

November 24, 2023

Published in Issue

Year 2023 Volume: 5 Number: 2

APA
Chu, W. (2023). Abel’s Convolution Formulae through Taylor Polynomials. Maltepe Journal of Mathematics, 5(2), 47-51. https://doi.org/10.47087/mjm.1314434
AMA
1.Chu W. Abel’s Convolution Formulae through Taylor Polynomials. Maltepe Journal of Mathematics. 2023;5(2):47-51. doi:10.47087/mjm.1314434
Chicago
Chu, Wenchang. 2023. “Abel’s Convolution Formulae through Taylor Polynomials”. Maltepe Journal of Mathematics 5 (2): 47-51. https://doi.org/10.47087/mjm.1314434.
EndNote
Chu W (November 1, 2023) Abel’s Convolution Formulae through Taylor Polynomials. Maltepe Journal of Mathematics 5 2 47–51.
IEEE
[1]W. Chu, “Abel’s Convolution Formulae through Taylor Polynomials”, Maltepe Journal of Mathematics, vol. 5, no. 2, pp. 47–51, Nov. 2023, doi: 10.47087/mjm.1314434.
ISNAD
Chu, Wenchang. “Abel’s Convolution Formulae through Taylor Polynomials”. Maltepe Journal of Mathematics 5/2 (November 1, 2023): 47-51. https://doi.org/10.47087/mjm.1314434.
JAMA
1.Chu W. Abel’s Convolution Formulae through Taylor Polynomials. Maltepe Journal of Mathematics. 2023;5:47–51.
MLA
Chu, Wenchang. “Abel’s Convolution Formulae through Taylor Polynomials”. Maltepe Journal of Mathematics, vol. 5, no. 2, Nov. 2023, pp. 47-51, doi:10.47087/mjm.1314434.
Vancouver
1.Wenchang Chu. Abel’s Convolution Formulae through Taylor Polynomials. Maltepe Journal of Mathematics. 2023 Nov. 1;5(2):47-51. doi:10.47087/mjm.1314434

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