Keywords: چند جمله ای Bernoulli; 11B68; 11C20; 11M06; Bernoulli number; Bernoulli polynomial; Riemann zeta function; Euler number; Euler polynomial; Alternating zeta function; Double zeta values; Hurwitz zeta function; Lerch zeta function; Polygamma function; Ramanujan polynomial; Bernou
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Keywords: چند جمله ای Bernoulli; primary, 11B68; secondary, 11B73, 26A06, 26A09, 26C05Closed form; Bernoulli polynomial; Bernoulli number; Stirling numbers of the second kind; Determinant
Keywords: چند جمله ای Bernoulli; Bernoulli polynomial; Collocation method; Nonlinear fourth order integro-differential equation; Iterative process; Error estimate;
The p-adic analytic Dedekind sums
Keywords: چند جمله ای Bernoulli; 11F20; 11B68; 11S80; 11M35; p-adic integral; p-adic Hurwitz zeta function; Dedekind sum; Bernoulli polynomial; Euler polynomial;
On the mean values of Dirichlet L-functions
Keywords: چند جمله ای Bernoulli; 11M06; 11F20; 11B68; L-function; Character sum; Gauss sum; Bernoulli polynomial;
Congruences and relations for r-Fishburn numbers
Keywords: چند جمله ای Bernoulli; Fishburn numbers; Interval orders; Congruence; Bernoulli polynomial; Stirling numbers; Glaisher T-numbers
A new Ostrowski-Grüss inequality involving 3n knots
Keywords: چند جمله ای Bernoulli; Integral inequality; Taylor expansion; Ostrowski; Ostrowski-Grüss; Simpson; Iyengar; Bernoulli polynomial;
Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under S3
Keywords: چند جمله ای Bernoulli; Bernoulli polynomial; Power sum; Volkenborn integral; Identities of symmetry;
Mean values of L-functions and Dedekind sums
Keywords: چند جمله ای Bernoulli; L-function; Cotangents Dedekind–Rademacher sums; Bernoulli polynomial; Bernoulli number; Jordan function
Faulhaber’s theorem on power sums
Keywords: چند جمله ای Bernoulli; Faulhaber’s theorem; Power sum; Alternating sum; rr-fold power sum; rr-fold alternating power sum; Bernoulli polynomial; Euler polynomial
An identity of symmetry for the Bernoulli polynomials
Keywords: چند جمله ای Bernoulli; Power sum; Power sum polynomial; Bernoulli number; Bernoulli polynomial; Higher order Bernoulli polynomials
Several identities for the generalized Apostol–Bernoulli polynomials
Keywords: چند جمله ای Bernoulli; Bernoulli number; Bernoulli polynomial; Apostol–Bernoulli polynomial; Generalized Apostol–Bernoulli polynomial; Combinatorial identity
On sums of binomial coefficients and their applications
Keywords: چند جمله ای Bernoulli; Primary, 11B65; secondary, 05A19, 11B37, 11B68Binomial coefficient; Combinatorial sum; Recurrence; Bernoulli polynomial; Euler polynomial
Congruences involving Bernoulli and Euler numbers
Keywords: چند جمله ای Bernoulli; primary, 11B68; secondary, 11A07Congruence; Bernoulli number; Bernoulli polynomial; Euler number
Congruences involving Bernoulli polynomials
Keywords: چند جمله ای Bernoulli; Primary 11B68; Secondary 11A07; 11R29Congruence; Bernoulli polynomial; p-Regular function; Class number; Euler number
Some integral inequalities for functions with (n−1)st derivatives of bounded variation
Keywords: چند جمله ای Bernoulli; Bounded variation; Appell type polynomial; Bernoulli polynomial; Ostrowski’s inequality; Trapezoidal inequality
Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration
Keywords: چند جمله ای Bernoulli; Generating function; Symbolic sum formula; Binomial enumeration; Shift-invariant operator; Delta operator; Bell number; Genocchi number; Euler number; Euler polynomial; Eulerian fraction; Bernoulli number; Bernoulli polynomial
Numerical approximation to ζ(2n+1)ζ(2n+1)
Keywords: چند جمله ای Bernoulli; 11M06; 11Y35; 41A10; 65D15Riemann zeta function; Bernoulli polynomial; Dirichlet series; Apéry's constant
Bernoulli matrix and its algebraic properties
Keywords: چند جمله ای Bernoulli; 05A10; 05A19; 11B39; 11B68Bernoulli number; Bernoulli polynomial; Bernoulli Matrix; Generalized Pascal matrix; Fibonacci matrix
Explicit evaluations of extended Euler sums
Keywords: چند جمله ای Bernoulli; primary 11M35; 11B68; secondary 11M06; 40B05Zeta function; Bernoulli polynomial; Euler sum