Explicit formulas for some generalized polynomials

Abstract

Using notions of composita and composition of generating functions, we establish some explicit formulas for the Generalized Hermite polynomials, the Generalized Humbert polynomials, the Lerch polynomials, and the Mahler polynomials.

Original language	English
Pages (from-to)	2083-2088
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	7
Issue number	5
DOIs	https://doi.org/10.12785/amis/070550
Publication status	Published - 2013

Keywords

Composita
Generalized Hermite polynomials
Generalized Humbert polynomials
Generating function
Lerch polynomials
Mahler polynomials

ASJC Scopus subject areas

Applied Mathematics
Numerical Analysis
Analysis
Computer Science Applications
Computational Theory and Mathematics

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10.12785/amis/070550

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title = "Explicit formulas for some generalized polynomials",

abstract = "Using notions of composita and composition of generating functions, we establish some explicit formulas for the Generalized Hermite polynomials, the Generalized Humbert polynomials, the Lerch polynomials, and the Mahler polynomials.",

keywords = "Composita, Generalized Hermite polynomials, Generalized Humbert polynomials, Generating function, Lerch polynomials, Mahler polynomials",

author = "Kruchinin, {Dmitry V.} and Kruchinin, {Vladimir V.}",

year = "2013",

doi = "10.12785/amis/070550",

language = "English",

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pages = "2083--2088",

journal = "Applied Mathematics and Information Sciences",

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AU - Kruchinin, Vladimir V.

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KW - Generalized Humbert polynomials

KW - Generating function

KW - Lerch polynomials

KW - Mahler polynomials

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