TY - JOUR
T1 - Application of a composition of generating functions for obtaining explicit formulas of polynomials
AU - Kruchinin, Dmitry V.
AU - Kruchinin, Vladimir V.
PY - 2013/8/1
Y1 - 2013/8/1
N2 - Using notions of composita and composition of generating functions, we obtain explicit formulas for the Chebyshev polynomials, the Legendre polynomials, the Gegenbauer polynomials, the Associated Laguerre polynomials, the Stirling polynomials, the Abel polynomials, the Bernoulli Polynomials of the Second Kind, the Generalized Bernoulli polynomials, the Euler Polynomials, the Peters polynomials, and the Narumi polynomials.
AB - Using notions of composita and composition of generating functions, we obtain explicit formulas for the Chebyshev polynomials, the Legendre polynomials, the Gegenbauer polynomials, the Associated Laguerre polynomials, the Stirling polynomials, the Abel polynomials, the Bernoulli Polynomials of the Second Kind, the Generalized Bernoulli polynomials, the Euler Polynomials, the Peters polynomials, and the Narumi polynomials.
KW - Composita
KW - Composition of generating function
KW - Generating function
KW - Polynomial
UR - http://www.scopus.com/inward/record.url?scp=84875877671&partnerID=8YFLogxK
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U2 - 10.1016/j.jmaa.2013.03.009
DO - 10.1016/j.jmaa.2013.03.009
M3 - Article
AN - SCOPUS:84875877671
VL - 404
SP - 161
EP - 171
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -