CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS

Title & Authors
CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS
Kim, Daeyeoul; Bayad, Abdelmejid; Ikikardes, Nazli Yildiz;

Abstract
In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as applications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.
Keywords
Bernoulli polynomials;Euler polynomials;convolution sums;divisor functions;
Language
English
Cited by
1.
A PRODUCT FORMULA FOR COMBINATORIC CONVOLUTION SUMS OF ODD DIVISOR FUNCTIONS, Honam Mathematical Journal, 2016, 38, 2, 243
2.
TRIPLE AND FIFTH PRODUCT OF DIVISOR FUNCTIONS AND TREE MODEL, Journal of applied mathematics & informatics, 2016, 34, 1_2, 145
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