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In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic… Click to show full abstract
In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and completely new approach to the complex Hermite polynomials. Using this expansion, we derive the Poisson Kernel, the Nielsen type formula, the addition formula for the complex Hermite polynomials with ease. A multilinear generating function for the complex Hermite polynomials is proved.
Keywords:
expansion;
complex hermite;
hermite polynomials
Journal Title: Filomat
Year Published: 2020
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!