A New Generating Function for Hermite Polynomials

Manouchehr Amiri

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-7

Abstract: This paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function. Recurrence relations of Hermite polynomials and another version of its contour integral representation are derived from this version of the generating function. New versions of the generating functions for the two-variable Hermite polynomials have been presented.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ijmms/2025/9075713.pdf (application/pdf)
http://downloads.hindawi.com/journals/ijmms/2025/9075713.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9075713

DOI: 10.1155/ijmm/9075713

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().