Explicit formulas for some generalized polynomials

Dmitry V. Kruchinin, Vladimir V. Kruchinin

Research output: Contribution to journal › Article

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

Fingerprint

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

Cite this

Kruchinin, D. V., & Kruchinin, V. V. (2013). Explicit formulas for some generalized polynomials. Applied Mathematics and Information Sciences, 7(5), 2083-2088. https://doi.org/10.12785/amis/070550

@article{47a09fdfb6d74ec9bfb4f64a2a92a450,

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",

volume = "7",

pages = "2083--2088",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing Corporation",

number = "5",

}

TY - JOUR

T1 - Explicit formulas for some generalized polynomials

AU - Kruchinin, Dmitry V.

AU - Kruchinin, Vladimir V.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Composita

KW - Generalized Hermite polynomials

KW - Generalized Humbert polynomials

KW - Generating function

KW - Lerch polynomials

KW - Mahler polynomials

UR - http://www.scopus.com/inward/record.url?scp=84882977738&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84882977738&partnerID=8YFLogxK

U2 - 10.12785/amis/070550

DO - 10.12785/amis/070550

M3 - Article

AN - SCOPUS:84882977738

VL - 7

SP - 2083

EP - 2088

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

SN - 1935-0090

IS - 5

ER -

Access to Document

10.12785/amis/070550