An Elliptic Extension of the Genocchi Polynomials

作者：Ge, Ji-Ke; Luo, Qiu-Ming^*

来源：Filomat, 2016, 30(7): 1899-1909.

DOI：10.2298/FIL1607899G

• Eisenstein series
• Kronecker's identity
• Jacobi's theta function
• elliptic extension
• Genocchi numbers and polynomials
• sums of products
• generating function
• periodic Genocchi polynomials

We define an elliptic extension of the Genocchi polynomials and obtain the sums of products for the elliptic Genocchi polynomials. The formulas of sums of products for the Genocchi polynomials are also derived.

• 出版日期2016
• 单位重庆师范大学; 重庆科技学院