Solusi Deret Pangkat Tetap Dengan Fungsi Pembangkit

Authors

  • Alexander A.S. Gunawan Bina Nusantara University

DOI:

https://doi.org/10.21512/comtech.v1i2.2409

Keywords:

the sum of powers, generating function

Abstract

This article discusses about the sum of powers , which closed solutions empirically have been discovered by Jacob Bernoulli in 1731 in The Art of Conjecture. In this paper, we will find a closed solution of the sum of powers by using the Generating Function. By learning how to derive the closed solution of the sum of powers, the Generating Function can be used to solve the more general series forms.

 

 

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Plum Analytics

References

Chen, K. W., & Eie, M. (2001). A Note on Generalized Bernoulli Numbers, Pacific Journal of Mathematics, Volume 199 No 1, 2001.

Gourdon, X., & Pascal, S. (2002). “Introduction to Bernoulli’s Number”, diakses dari http://numbers.computation.free.fr/Constants/constants.html

Silva, J., (2006). Bernoulli Numbers and Their Applications, diakses dari http://ocw.mit.edu/NR/rdonlyres/Mathematics

South, K. A. (1993). Solving Recurrence with Generating Function, Baltimore: University of Maryland.

Wilf, H. S. (1994), Generatingfunctionology. Philadelphia: Academic Press Inc.

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Published

2010-12-01

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Articles
Abstract 243  .
PDF downloaded 122  .