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Open AccessArticle

Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

1
Department of Mathematics, Dong-A University, Busan 604-714, Korea
2
Department of Mathematics, Hannam University, Daejeon 34430, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 228; https://doi.org/10.3390/math8020228
Received: 14 January 2020 / Revised: 3 February 2020 / Accepted: 5 February 2020 / Published: 10 February 2020
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials. In order to give explicit identities for two variable degenerate Hermite polynomials, differential equations arising from the generating functions of degenerate Hermite polynomials are studied. Finally, we investigate the structure and symmetry of the zeros of the two variable degenerate Hermite equations.
Keywords: differential equations; symmetric identities; degenerate Hermite polynomials; complex zeros differential equations; symmetric identities; degenerate Hermite polynomials; complex zeros
MDPI and ACS Style

Hwang, K.-W.; Ryoo, C.S. Differential Equations Associated with Two Variable Degenerate Hermite Polynomials. Mathematics 2020, 8, 228.

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