Results 1 to 10 of about 48 (48)
Analytical properties of the two-variables Jacobi matrix polynomials with applications
Demonstratio Mathematica, 2021 In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived.
Abdalla Mohamed, Hidan Muajebah
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Starlike and convexity properties of q-Bessel-Struve functions
Demonstratio Mathematica, 2022 This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
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Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe
Veterinary 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
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
Forum of Mathematics, Pi, 2013 Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM +2 more
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On the q-exponential of matrix q-Lie algebras
Special 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
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On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions
Axioms, 2015 In this article, we move back almost 200 years to Christoph Gudermann, the great expert on elliptic functions, who successfully put the twelve Jacobi functions in a didactic setting. We prove the second hyperbolic series expansions for elliptic functions
Thomas Ernst
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The roots of the third Jackson q‐Bessel function
International 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
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Fine‐scale reconstruction of pelagic fish migration by iso‐logging of eye lens
Methods 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
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Composition Formula for Saigo Fractional q‐Calculus Operator for the q‐Analogue of the H‐Function
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The purpose of this paper is to investigate key properties of Saigo’s fractional q‐integral and q‐derivative operators involving the q‐analogue of Fox’s H‐function. We establish four main theorems describing the action of Saigo‐type fractional q‐operators on generalised power functions expressed in terms of the q‐Fox H‐function.
Arti Sharma +3 more
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