Results 1 to 10 of about 444 (53)
Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe
Background – Serum testing for allergen‐specific immunoglobulin (Ig)E is commonly employed to identify allergens used for allergen‐specific immunotherapy in dogs, yet the reliability of results has been a matter of debate. Objective – The aim of this study was to evaluate the reproducibility of serum tests for environmental allergen‐specific IgE in ...
Katja N. Baumann +4 more
wiley +1 more source
q-hypergeometric double sums as mock theta functions [PDF]
Recently, Bringmann and Kane established two new Bailey pairs and used them to relate certain q-hypergeometric series to real quadratic fields. We show how these pairs give rise to new mock theta functions in the form of q-hypergeometric double sums ...
Andrews +5 more
core +3 more sources
The roots of the third Jackson q‐Bessel function
We derive analytic bounds for the zeros of the third Jackson q‐Bessel function Jv(3)(z;q).
L. D. Abreu, J. Bustoz, J. L. Cardoso
wiley +1 more source
Hypergeometric $\tau$ Function of the $q$-Painlev\'e Systems of Type $(A_2+A_1)^{(1)}$ [PDF]
We consider a $q$-Painlev\'e III equation and a $q$-Painlev\'e II equation arising from a birational representation of the affine Weyl group of type $(A_2+A_1)^{(1)}$.
Nakazono, Nobutaka
core +4 more sources
On two 10th order mock theta identities
We give short proofs of conjectural identities due to Gordon and McIntosh involving two 10th order mock theta functions.Comment: 5 pages, to appear in the Ramanujan ...
A. Folsom +8 more
core +3 more sources
The $q$-binomial coefficients $\qbinom{n}{m}=\prod_{i=1}^m(1-q^{n-m+i})/(1-q^i)$, for integers $0\le m\le n$, are known to be polynomials with non-negative integer coefficients.
Warnaar, S. Ole, Zudilin, Wadim
core +1 more source
A new multivariable 6-psi-6 summation formula [PDF]
By multidimensional matrix inversion, combined with an A_r extension of Jackson's 8-phi-7 summation formula by Milne, a new multivariable 8-phi-7 summation is derived.
C. Krattenthaler +31 more
core +1 more source
A Connection Formula of the Hahn-Exton $q$-Bessel Function [PDF]
We show a connection formula of the Hahn-Exton $q$-Bessel function around the origin and the infinity. We introduce the $q$-Borel transformation and the $q$-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit
Morita, Takeshi
core +6 more sources
An elementary proof of the irrationality of Tschakaloff series
We present a new proof of the irrationality of values of the series $T_q(z)=\sum_{n=0}^\infty z^nq^{-n(n-1)/2}$ in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to $T_q(z)$.Comment:
A. Poorten van der +10 more
core +2 more sources
Fine‐scale reconstruction of pelagic fish migration by iso‐logging of eye lens
Abstract Understanding lifetime space use by pelagic animals is pivotal for ecology and fisheries management, but electronic tags are costly, labour‐intensive and rarely able to capture juvenile movement. We implemented an iso‐logging workflow that converts stable isotope chronologies in eye lenses into continuous migration tracks, and demonstrate its ...
Jun Matsubayashi +8 more
wiley +1 more source

