Results 11 to 20 of about 485 (66)

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

On the q-exponential of matrix q-Lie algebras

open access: yesSpecial Matrices, 2017
In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding ...
Ernst Thomas
doaj   +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   +4 more sources

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

q-Fractional calculus for Rubin’s q-difference operator

open access: yesAdvances in Differential Equations, 2013
In this paper we introduce a fractional q-integral operator and derivative as a generalization of Rubin’s q-difference operator. We also reformulate the definition of the q2-Fourier transform and the q-analogue of the Fourier multiplier introduced by ...
Z. Mansour
semanticscholar   +2 more sources

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

Rogers-ramanujan Type Identities Modulo 5, 7, 15 and 21

open access: yesInternational Journal For Multidisciplinary Research
: In this paper, some identities of Rogers_Ramanujan Type related to modulo 5, 7, 15 and 21 is derived with the incorporation of generalized Bailey pairs and some standard results established by Andrew V.
Shaikh Fokor Uddin Ali Ahmed
semanticscholar   +1 more source

Calderón’s reproducing Formula For q-Bessel operator

open access: yes, 2015
belgacem.selmi@fsb.rnu.tnABSTRACTIn this paper a Caldero´n-type reproducing formula for q-Bessel convolution is estab-lished using the theory of q-Bessel Fourier transform [13, 17], obtained in Quantumcalculus.RESUMENEn este trabajo se prueba una formula
B. Selmi
semanticscholar   +1 more source

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