Alternating Euler sums at the negative integers
We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles).
Boyadzhiev, Khristo N.+2 more
core
In this article, we give some identities for the q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi polynomials and recurrence relations between these polynomials in (Mahmudov in Discrete Dyn. Nat. Soc. 2012:169348, 2012; Mahmudov in Adv. Differ.
V. Kurt
semanticscholar +1 more source
Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang. [PDF]
Mukherjee G.
europepmc +1 more source
Fractional Euler numbers and generalized proportional fractional logistic differential equation. [PDF]
Nieto JJ.
europepmc +1 more source
Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]
Pourdarvish A+3 more
europepmc +1 more source
Plasma osteopontin versus intima media thickness of the common carotid arteries in well-characterised patients with systemic lupus erythematosus. [PDF]
Wirestam L+6 more
europepmc +1 more source
Fourier series of higher-order Daehee and Changhee functions and their applications. [PDF]
Lim D.
europepmc +1 more source
Fourier series of higher-order Bernoulli functions and their applications. [PDF]
Kim T, Kim DS, Rim SH, Dolgy DV.
europepmc +1 more source
Identities associated with Milne-Thomson type polynomials and special numbers. [PDF]
Simsek Y, Cakic N.
europepmc +1 more source