Results 101 to 110 of about 33,621 (261)
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley +1 more source
Holomorphic Hermite polynomials in two variables
, 2018 Generalizations of the Hermite polynomials to many variables and/or to the complex domain have been located in mathematical and physical literature for some decades.
Górska, K. +2 more
core
Asymptotics of integrals of Hermite polynomials [PDF]
, 2010 Integrals involving products of Hermite polynomials with the weight factor exp (−x2) over the interval (−∞,∞) are considered. A result of Azor, Gillis and Victor (SIAM J. Math. Anal.
Paris, Richard B.
core
Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses
Magnetic Resonance in Medicine, Volume 94, Issue 5, Page 2140-2149, November 2025.Abstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Ryan H. B. Smith +2 more
wiley +1 more source
Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
Discrete Dynamics in Nature and Society, 2012 We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim +2 more
doaj +1 more source
Hermite and Gegenbauer polynomials in superspace using Clifford analysis
, 2007 The Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbolic way.
Bartocci C +15 more
core +2 more sources
The combinatorics of associated Hermite polynomials
European Journal of Combinatorics, 2009 [v1]: 18 pages, 16 figures; presented at FPSAC 2007 [v2]: Some minor errors fixed (thanks Bill Chen, Jang Soo Kim) and text rearranged and cleaned up; no real content changes [v3]: fixed typos, to appear in European J ...
openaire +3 more sources
British Journal of Mathematical and Statistical Psychology, Volume 78, Issue 3, Page 734-756, November 2025.Abstract This paper introduces the generalized Hausman test as a novel method for detecting the non‐normality of the latent variable distribution of the unidimensional latent trait model for binary data. The test utilizes the pairwise maximum likelihood estimator for the parameters of the latent trait model, which assumes normality of the latent ...
Lucia Guastadisegni +3 more
wiley +1 more source
Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams
Advanced Photonics Research, Volume 6, Issue 10, October 2025.This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng +7 more
wiley +1 more source
On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Materials (Basel), 2023 Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source