Results 81 to 90 of about 27,421 (244)
A $q$-linear analogue of the plane wave expansion
, 2012 We obtain a $q$-linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little $q$-Gegenbauer polynomials and the \textit{third} Jackson $q$-Bessel function.
Abreu, Luís Daniel +2 more
core +1 more source
A parameter transformation of the anisotropic Matérn covariance function
Canadian Journal of Statistics, Volume 53, Issue 2, June 2025.Abstract We describe a polar coordinate transformation of the anisotropy parameters of the Matérn covariance function, which provides two benefits over the standard parameterization. First, it identifies a single point (the origin) with the special case of isotropy.
Kamal Rai, Patrick E. Brown
wiley +1 more source
The radius of convexity of normalized Bessel functions
, 2015 The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between $-2$ and $-1.$ Our methods include the minimum principle for harmonic functions, the Hadamard factorization of some Dini ...
Baricz, Árpád, Szász, Róbert
core +1 more source
Putatively Optimal Projective Spherical Designs With Little Apparent Symmetry
Journal of Combinatorial Designs, Volume 33, Issue 6, Page 222-234, June 2025.ABSTRACT We give some new explicit examples of putatively optimal projective spherical designs, that is, ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, which requires the introduction of new techniques for their construction.
Alex Elzenaar, Shayne Waldron
wiley +1 more source
Small, Volume 21, Issue 24, June 19, 2025.A straightforward technique for fractionating sedimented, same‐sized colloidal particles based on small differences in their surface properties is described. This microfluidic technology method exploits the velocity differentials within a shear‐flow via inducing a phoretic lift above the bottom porous polymer interface that is capable of light‐induced ...
Daniela Vasquez‐Muñoz +11 more
wiley +1 more source
Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley +1 more source
Definite Integrals using Orthogonality and Integral Transforms
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
doaj +1 more source
Machine Learning Transition State Geometries and Applications in Reaction Property Prediction
WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.Machine learning offers a promising method for generating transition states, bypassing the need for costly quantum mechanical calculations and enabling rapid insights into chemical reaction mechanisms. Advancements in the field are discussed herein. ABSTRACT The calculation of transition state (TS) geometries is essential for understanding reaction ...
Isaac W. Beaglehole +3 more
wiley +1 more source
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT In this paper, we compute the small and large x$x$ asymptotics of the special function solutions of the Painlevé‐III equation in the complex plane. We use the representation in terms of Toeplitz determinants of Bessel functions obtained by Masuda. Toeplitz determinants are rewritten as multiple contour integrals using Andrèief's identity.
Hao Pan, Andrei Prokhorov
wiley +1 more source
A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function [PDF]
Sahand Communications in Mathematical AnalysisThe aim of the present investigation is to deal with integrals, which are connected with the extended generalized Mittag-Leffler function, Jacobi polynomial, and Bessel-Maitland function.
Nirmal Kumar Jangid +2 more
doaj +1 more source