OnFrobenius-EulerPolynomial of high-order convolution formula
摘要
StudyFrobenius-EulerPolynomialUse generation function thought and combination are established. The polynomial of a High-Order convolution formulaMakesDilcherThe classic results was as an special obtained
参考
He Yuan,Zhang wenpeng.On the symmetric relation of a polynomial Sequence[J].Journal of Southwest Normal University(Natural Science Edition), 2013,38 (4): 28-30.
Liu Hongmei, Wang weping. Some identities on the Bernoulli, Euler and Genocchi polymers via power sums and alternate power sums [J]. Discrete Math., 2009,309: 3346-3363.
Wu Ming,Du Shanshan.Symmetric equality of degenerate higher-order Bernoulli polynomials and generalized idempotent sum Polynomials[J].Practice and understanding of Mathematics., 2014,44 (24): 256-261.
Yang Shengliang,Joe chanko.Matrix Method for Calculating Power Sum Polynomials[J].Practice and understanding of Mathematics, 2008,38 (3): 90-95.
Sitaramachandrarao R, Davis B. Some identities involved the Riemann zeta function, II [J]. Indian J. Pure Appl. Math., 1986,17: 1175-1186.
Sankaranarayanan A. An identity involved Riemann zeta function [J]. Indian J. Pure Appl. Math., 1987,18: 794-800.
Zhang wenpeng. On the secret identities of Riemann Zeta-function [J]. Chinese sci. Bull., 1991,36: 1852-1856.
Dilcher K. Sums of products of Bernoulli Numbers [J]. J. number theory, 1996,60: 23-41.
Bayad A, Komatsu T. Zeta Functions interrelated the revolution of the Bernoulli polymers [J/Ol]. Integral transformers spec. funct. [2018-02-10]. https://doi.org/10.1080/10652469.2018.1478822.
N¨ orlund n e. vorlesungen uber ¨ di erenzenrechnung [M]. Berlin: Springer, 1924.
Frobenius, f g. Uber die Bernoulli zahlen und die eulerichen polyome [M]. Berlin: sitzungsber. K.Preuşischen akad. Wissenschaft, 1910.
He Yuan, araci S, Srivastava h m. summation forum for the products of the Frobenius-Euler polymers [J]. Ramanujan J., 2017,44: 177-195.
Xu aimin, CEN zhongdi. Some identities involved exponential functions and Stirling Numbers and appli-orders [J]. J. comput. Appl. Math., 2014,260: 201-207.
He Yuan, Zhang wenpeng. Some symmetric identities involved a sequence of polymers [J]. Electronic J. Combat., 2010,17 (1): 1110-1119.
comtet L. Advanced Combinatorics, the art of finite and infinite expressions [M]. Dordrecht: D. Reidel Publishing Co., 1974.
Lu qiuming. ellipse extensions of the apodol-Bernoulli and apodol-Euler polymers [J]. Appl. Math.Comput. 2015,261: 156-166.
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