Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials

Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials

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Baghdadi Aloui

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Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials

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Abstract

In this paper, we introduce a connection formula between the monomial basis and the shifted Laguerre basis. As an application, some integral representations in terms of Laguerre polynomials for certain sequences are obtained.

References

4 Cites in Article

Reference Format

H Hochstadt (1971). The Functions of Mathematical Physics.
N Lebedev (1972). Special Functions and their Applications.
P Maroni (1994). Fonctions Eulériennes, Polynômes Orthogonaux Classiques.
G Szeg (1975). Orthogonal Polynomials.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Baghdadi Aloui. 2015. \u201cCertain Sequences and its Integral Representations in Terms of Laguerre Polynomials\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F5): .

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GJSFR Volume 15 Issue F5
Pg. 1- 6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

Classification

GJSFR-F Classification: MSC 2010: Primary 33C45; Secondary 42C05

Submission ReceivedApril 22, 2015
Peer Review Double Blind
Handling Editor
Accepted May 16, 2015
Published May 30, 2015

Version of record

v1.2

Issue date

July 1, 2015

Language

en

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Article Matrices

Total Score: 101

Country: Tunisia

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Baghdadi Aloui (PhD/Dr. count: 0)

View Count (all-time): 189

Total Views (Real + Logic): 4277

Total Downloads (simulated): 2082

Publish Date: 2015 07, Wed

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Total Views: 4277

Total Downloads: 2082

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Published Article

In this paper, we introduce a connection formula between the monomial basis and the shifted Laguerre basis. As an application, some integral representations in terms of Laguerre polynomials for certain sequences are obtained.

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