The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials

In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous multiplicative differential equations of 2nd order. Further, we introduce the multiplicative Hermite differential equations, multiplicative Hermite polynomials and basic prope...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2021-04, Vol.70 (1), p.9-21
Main Author: Yalçın, Numan
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Differential equations
Geometry
Hermite polynomials
Mathematical analysis
Mathematics
Mathematics and Statistics
Power series
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Summary:In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous multiplicative differential equations of 2nd order. Further, we introduce the multiplicative Hermite differential equations, multiplicative Hermite polynomials and basic properties of these polynomials.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-019-00474-5