Combinatorial Approach to Legendre Polynomials

Bashir Ahmad Bhat

doi:https://doi.org/10.14445/22315373/IJMTT-V51P528

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 3 | Year 2017 | Article Id. IJMTT-V51P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P528

Combinatorial Approach to Legendre Polynomials

Bashir Ahmad Bhat

Citation :

Bashir Ahmad Bhat, "Combinatorial Approach to Legendre Polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 3, pp. 212-214, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P528

Abstract

Not all differential equations have solutions in terms of known functions. Some of these have solution in series. This series gives rise to some interesting results. The well known such differential equations are Legendr’s and Bessle’s equations.

Keywords

Legendre, Combinatorial, Rodrigue’s formula, Leibnitz theorem, Taylor expansion.

References

1) K. M. Saksena , M. A. Kazim and M. A. Pathan, Elements of Special Functions, P. C. Dwadash Shreni & Co.(Pvt.), Ltd , Bara Bazar, Aligarh-202001, India, 1992.