DIFFERENTIAL EQUATION WITH POCHHAMMER POLYNOMIALS (x)n SOLUTIONS (x)1 TO (x)4

  • Vicente Aboites Center for Research in Optics
  • Mr. Trejo García Center for Research in Optics
DOI: https://doi.org/10.53555/m.v5i12.3259
Keywords: Pochhammer polynomials, differential equations, Special Polynomials

Abstract

In this paper we present a third order differential equation that has the Pochhammer polynomials from orders one through four as solutions. Obtaining this equation is useful to characterize the Pochhammer polynomials in a similar way to other families of special polynomials. We believe that an equation for higher orders is possible following the same methodology.

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Author Biography

Mr. Trejo García, Center for Research in Optics

Graduate student at the Center for Research in Optics

References

K. Oldham, J. Myland, J. Spanier, An Atlas of Functions, Second Edition, Springer, (2018).

G. B. Arfken, H. J. Weber, Mathematical Methods for Physicists, Elsevier, (2005).

V. Aboites, M. Ramírez, Simple approach to special polynomials: Laguerre, Hermite, Legendre, Tchebycheff, and Gegenbauer, In Applied Mathematics, IntechOpen, (2019).

Published
2020-01-02
How to Cite
Aboites, V., & Trejo García, D. (2020). DIFFERENTIAL EQUATION WITH POCHHAMMER POLYNOMIALS (x)n SOLUTIONS (x)1 TO (x)4. IJRDO -JOURNAL OF MATHEMATICS, 5(12), 01-04. https://doi.org/10.53555/m.v5i12.3259
Issue
Vol. 5 No. 12 (2019): IJRDO - Journal of Mathematics | ISSN: 2455-9210
Section
Articles

Copyright (c) 2020 IJRDO - Journal of Mathematics (ISSN: 2455-9210)

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