Some recurrence formulas for the Hermite polynomials and their squares

Abstract

In this paper, by making use of the generating function methods and Padé approximation techniques, we establish some new recurrence formulas for the Hermite polynomials and their squares. These results presented here are the corresponding extensions of some known formulas.

Keywords

• hermite polynomials
• padé approximants
• summation formulas
• recurrence formulas
• 11b83
• 05a19