Results 1 to 10 of about 444 (53)

Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe

open access: yesVeterinary Dermatology, Volume 32, Issue 3, Page 251-e67, June 2021., 2021
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]

open access: yes, 2012
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 67, Page 4241-4248, 2003., 2003
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]

open access: yes, 2010
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

open access: yes, 2013
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

A q-rious positivity

open access: yes, 2010
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]

open access: yes, 2006
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]

open access: yes, 2011
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

open access: yes, 2005
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

open access: yesMethods in Ecology and Evolution, Volume 17, Issue 1, Page 77-84, January 2026.
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

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