Some generalizations of 2D Bernoulli polynomials

نویسندگان

  • Da-Qian Lu
  • Qiu-Ming Luo
چکیده

As a generalization of 2D Bernoulli polynomials, neo-Bernoulli polynomials are introduced from a point of view involving the use of nonexponential generating functions. Their relevant recurrence relations, the differential equations satisfied by them and some other properties are obtained. Especially, we obtain the relationships between them and neo-Hermite polynomials. We also study some other generalizations of 2D Bernoulli polynomials. MSC: Primary 11B68; secondary 33C99; 34A35

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تاریخ انتشار 2013