论文信息 - Convolution Identities for Bernoulli and Genocchi Polynomials - 字舞流文

Convolution Identities for Bernoulli and Genocchi Polynomials

The main purpose of this paper is to derive various Matiyasevich-Miki-Gessel type convolution identities for Bernoulli and Genocchi polynomials and numbers by applying some Euler type identities with two parameters.

Takashi Agoh | T. Agoh

[1] Wenchang Chu,et al. CONVOLUTIONS OF BERNOULLI AND EULER POLYNOMIALS , 2010 .

[2] R. Pandharipande,et al. Hodge integrals and Gromov-Witten theory , 1998 .

[3] Ira M. Gessel,et al. On Miki's identity for Bernoulli numbers , 2005 .

[5] Takashi Agoh,et al. Convolution identities and lacunary recurrences for Bernoulli numbers , 2007 .

[6] Takashi Agoh,et al. Higher-order recurrences for Bernoulli numbers☆ , 2009 .

[7] Fan Zhang,et al. Symmetric identities on Bernoulli polynomials , 2007, 0709.2593.

[8] Hiroo Miki,et al. A relation between Bernoulli numbers , 1978 .

[9] M. C. Crabb. THE MIKI-GESSEL BERNOULLI NUMBER IDENTITY , 2005, Glasgow Mathematical Journal.

[10] Kwang-Wu Chen. Sums of products of generalized Bernoulli polynomials , 2003 .

[11] Zhi-Wei Sun,et al. New identities involving Bernoulli and Euler polynomials , 2006, J. Comb. Theory, Ser. A.

[12] Gerald V. Dunne,et al. Bernoulli Number Identities from Quantum Field Theory , 2004 .

[13] Kazuya Kato,et al. Number Theory 1 , 1999 .

[14] Karl Dilcher,et al. Sums of Products of Bernoulli Numbers , 1996 .

[15] Katsumi Shiratani,et al. AN APPLICATION OF p-ADIC CONVOLUTIONS , 1982 .

[16] Daeyeoul Kim,et al. New identities involving Bernoulli, Euler and Genocchi numbers , 2013 .

[17] E. Hansen. A Table of Series and Products , 1977 .