The Monomiality Principle Applied to Extensions of Apostol-Type Hermite Polynomials
In this research paper, we present a class of polynomials referred to as Apostol-type Hermite-Bernoulli/Euler polynomials $\mathcal{U}_\nu(x,y;\rho;\mu)$, which can be given by the following generating function\begin{equation*} \displaystyle \frac{2 ...
S. Díaz +4 more
semanticscholar +1 more source
Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. [PDF]
Simsek Y, Kim D.
europepmc +1 more source
Coarse-graining the electrostatic potential via distributed multipole expansions. [PDF]
Gramada A, Bourne PE.
europepmc +1 more source
Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases
Summary: We present identities of various kinds for generalized \(q\)-Apostol-Bernoulli and Apostol-Euler polynomials and power sums, which resemble \(q\)-analogues of formulas from the 2009 paper by \textit{H. M. Liu} and \textit{W. Wang} [Discrete Math. 309, No. 10, 3346--3363 (2009; Zbl 1227.11043)].
openaire +2 more sources
Measurement of amyloid formation by turbidity assay-seeing through the cloud. [PDF]
Zhao R +7 more
europepmc +1 more source
Estimation and interpretation of 1/falpha noise in human cognition. [PDF]
Wagenmakers EJ, Farrell S, Ratcliff R.
europepmc +1 more source
Unified laguerre-based poly-Apostol-type polynomials
openaire +1 more source
Some Symmetry Identities for the Unified Apostol-Type Polynomials and Multiple Power Sums
V. Kurt
semanticscholar +1 more source
Generalized Apostol-type polynomial matrix and its algebraic properties
The aim of this paper is to introduce the generalized Apostol-type polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apos-tol-type matrix W [m−1,α](c,a;λ;µ;ν). Using some properties of the generalized Apostol-type polynomials and numbers, we deduce a product formula for W [m−1,α](x;c,a;λ;µ;ν) and provide some factorizations of the Apostol ...
Quintana, Yamilet +2 more
openaire +1 more source

