Derivation of identities involving some special polynomials and numbers via generating functions with applications

作者：El Mikkawy Moawwad^*; Atlan Faiz

来源：Applied Mathematics and Computation, 2013, 220: 518-535.

DOI：10.1016/j.amc.2013.06.014

• Bernoulli numbers
• Bernoulli polynomials
• Euler numbers
• Euler polynomials
• Genocchi numbers
• Genocchi polynomials
• Generating functions
• Maple

The current article focus on the ordinary Bernoulli, Euler and Genocchi numbers and polynomials. It introduces a new approach to obtain identities involving these special polynomials and numbers via generating functions. As an application of the new approach, an easy proof for the main result in [6] is given. Relationships between the Genocchi and the Bernoulli polynomials and numbers are obtained. Some interesting identities are discovered.

• 出版日期2013-9-1