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In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we… Click to show full abstract
In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we are going to express those sums of finite products as linear combinations of Bernoulli polynomials. Further, by using a method other than Fourier series expansions, we will be able to express those sums in terms of Euler polynomials.
Keywords:
legendre laguerre;
laguerre polynomials;
finite products;
sums finite;
products legendre;
fourier series
Journal Title: Advances in Difference Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Advances in Difference Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!