A New Generating Function for Hermite Polynomials
This paper presents a new generating function of the form 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.
Authors
- Manouchehr Amiri (ORCID: https://orcid.org/0000-0002-0884-8853)
Institutions
- Aerospace Research Institute (IR)
Publication Details
- Journal
- International Journal of Mathematics and Mathematical Sciences
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/ijmm/9075713
- Citations
- 1
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 3.73