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Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Let Pn={p(x)∈ℝ[x]∣deg p(x)≤n} be an inner product space with the inner product 〈p(x),q(x)〉=∫0∞xαe-xp(x)q(x)dx, where p(x),q(x)∈Pn and α∈ℝ with α>-1.
In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis for Pn.
From those properties, we derive some interesting relations and identities of the extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials.
American Psychological Association (APA)
Kim, Taekyun& Kim, Dae San. 2012. Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-511335
Modern Language Association (MLA)
Kim, Taekyun& Kim, Dae San. Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-511335
American Medical Association (AMA)
Kim, Taekyun& Kim, Dae San. Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-511335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511335