Some properties of a new class of analytic functions defined via Rodrigues formula

Abstract

In this paper, we introduce and study the new family of analytic functions via Rodrigues formula. Some main properties, the generating function, various recurrence relations and differential properties of these functions are obtained. Furthermore, the differential equations are given for the subclasses of this family of analytic functions.

Keywords

• Multiple Hermite polynomials
• Rodrigues formula
• generating function
• recurrence relation
• differential equation

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