Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots

Kyung-Won Hwang and Cheon Seoung Ryoo
Additional contact information
Kyung-Won Hwang: Department of Mathematics, Dong-A University, Busan 604-714, Korea
Cheon Seoung Ryoo: Department of Mathematics, Hannam University, Daejeon 34430, Korea

Mathematics, 2020, vol. 8, issue 4, 1-17

Abstract: In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials. We study differential equations induced from the generating functions of two-variable partially degenerate Hermite polynomials to give identities for two-variable partially degenerate Hermite polynomials. Finally, we study the symmetric properties of the structure of the roots of the two-variable partially degenerate Hermite equations.

Keywords: differential equations; symmetric identities; partially degenerate Hermite polynomials; complex zeros (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/4/632/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/4/632/ (text/html)

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:gam:jmathe:v:8:y:2020:i:4:p:632-:d:347974

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().