Identities for Harmonic Numbers and Binomial Relations Via Legendre Polynomials

Authors

  • B.M. Tuladhar Kathmandu University, Dhulikhel, Kavre
  • J. López- Bonilla ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 5, 1er. Piso, Col. Lindavista CP 07738, CDMX
  • R. López- Vázquez ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 5, 1er. Piso, Col. Lindavista CP 07738, CDMX

Keywords:

Legendre polynomials, Schmied’s formula, Harmonic and Stirling numbers

Abstract

We employ the orthonormality of the Legendre polynomials to deduce binomial identities. The harmonic numbers Hn are connected with the derivatives of binomial coefficients, this fact allows to deduce identities involving the Hn.

Published

2018-10-08

How to Cite

Tuladhar, B., Bonilla, J. L.-., & Vázquez, R. L.-. (2018). Identities for Harmonic Numbers and Binomial Relations Via Legendre Polynomials. Kathmandu University Journal of Science Engineering and Technology, 13(2). Retrieved from https://journals.ku.edu.np/kuset/article/view/473

Issue

Vol. 13 No. 2 (2017): Kathmandu University for Science, Engineering and Technology (KUSET)

Section

Original Research Articles
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