Results 21 to 30 of about 57,853 (286)
Fully Degenerating of Daehee Numbers and Polynomials
In this paper, we consider fully degenerate Daehee numbers and polynomials by using degenerate logarithm function. We investigate some properties of these numbers and polynomials.
Sahar Albosaily +3 more
doaj +1 more source
Extension of the q-Pfaff-Saalschütz Theorem by Two Integer Parameters
We investigate a class of terminating 3ϕ2-series that comes from the balanced series perturbed by two extra integer parameters. By making use of the linearization method, a general summation formula is established that extends the well-known q-Pfaff ...
Nadia N. Li, Wenchang Chu
doaj +1 more source
Gefährdungsbeurteilung bei Exposition gegenüber mehreren krebserzeugenden Arbeitsstoffen [PDF]
We analyzed the validity of simple summation formulae with which a common effect of different occupational exposures could be mapped to the same cancer endpoint.
M. Spallek, P. Morfeld
core +1 more source
Chemical-potential-assisted particle production in FRW spacetimes
We analyze gravitational particle production assisted by chemical potential. By utilizing the uniformly smoothed Stokes-line method and Borel summation, we gain insight into the fine-grained history of enhanced particle production. Analytic/semi-analytic
Chon Man Sou, Xi Tong, Yi Wang
doaj +1 more source
Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials
A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed +2 more
doaj +1 more source
Quasicrystals and Poisson’s summation formula [PDF]
We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in R^n for positive measures.
Lev, Nir, Olevskii, Alexander
openaire +2 more sources
Some Formulae of Products of the Apostol-Bernoulli and Apostol-Euler Polynomials
Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials are established by applying the generating function methods and some summation transform techniques, and various known results are derived as special cases.
Yuan He, Chunping Wang
doaj +1 more source
A Summation Formula for Macdonald Polynomials [PDF]
We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the ring of polynomials. In the special cases $t=1$ and $q=0$, we recover known expressions for the monomial symmetric and Hall-Littlewood polynomials, respectively.
de Gier, J, Wheeler, M
openaire +3 more sources
Evaluation of Infinite Series by Integrals
We examine a large class of infinite triple series and establish a general summation formula. This is done by expressing the triple series in terms of definite integrals involving arctangent function that are evaluated in turn in closed forms.
Chunli Li, Wenchang Chu
doaj +1 more source
Multiplicate inverse forms of terminating hypergeometric series [PDF]
The multiplicate form of Gould--Hsu's inverse series relations enables to investigate the dual relations of the Chu-Vandermonde-Gau{\ss}'s, the Pfaff-Saalsch\"utz's summation theorems and the binomial convolution formula due to Hagen and Rothe.
Lavault, Christian
core +4 more sources

