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Journal of Semigroup Theory and Applications ISSN 2051-2937

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J. Semigroup Theory Appl. 2019 (2019), Article ID 5

Laguerre equation and fractional Laguerre polynomials

Ma'mon Abu Hammad, Bilal Albarmawi, A. Shmasneh, Amer Dababneh

PDF (125.2 KB) https://doi.org/10.28919/jsta/4074

Abstract

In this paper we introduce the concept of regular singular fractional point and use the technique of fractional power series to solve the fractional Laguerre equation. Then we get the factional Laguerre polynomials.

Published
21 May 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Ma'mon Abu Hammad, Bilal Albarmawi, A. Shmasneh, Amer Dababneh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Abu Hammad, B. Albarmawi, A. Shmasneh, A. Dababneh, Laguerre equation and fractional Laguerre polynomials, J. Semigroup Theory Appl. 2019 (2019), 5. https://doi.org/10.28919/jsta/4074

BibTeX
@article{Hammad2019,
  author  = {Abu Hammad, Ma'mon and Albarmawi, Bilal and Shmasneh, A. and Dababneh, Amer},
  title   = {Laguerre equation and fractional Laguerre polynomials},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {5},
  doi     = {10.28919/jsta/4074}
}