Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials
laguerre polynomials, special functions, integral formulas
Abstract
In this paper, we introduce a connection formula between the monomial basis and the shifted Laguerre basis. As an application, some integral representations in terms of Laguerre polynomials for certain sequences are obtained.
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References
H Hochstadt (1971) The Functions of Mathematical Physics.
N Lebedev (1972) Special Functions and their Applications.
P Maroni (1994) Fonctions Eulériennes, Polynômes Orthogonaux Classiques. 154, 1-30.
G Szeg (1975) Orthogonal Polynomials. 23.
Published
2015-07-01
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