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Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials

open access: yesMathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci   +2 more
doaj   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

open access: yesMathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim   +3 more
doaj   +1 more source

Lah numbers, Laguerre polynomials of order negative one, and the nth derivative of exp(1/x)

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
In this note we point out interesting connections among Lah numbers, Laguerre polynomials of order negative one, and exponential polynomials. We also discuss several different expressions for the nth derivative of exp(1/x).
Boyadzhiev Khristo N.
doaj   +1 more source

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