Recursive algorithm for transition density approximation and simulation of diffusion processes.

Συγγραφείς: Ben‐Hariz, Samir¹ (AUTHOR) samir.ben_hariz@univ-lemans.fr, Esstafa, Youssef¹ (AUTHOR), Zaatra, Helmi² (AUTHOR)

Πηγή: Statistica Neerlandica. Nov2025, Vol. 79 Issue 4, p1-18. 18p.

Θεματικοί όροι: *DISTRIBUTION (Probability theory), *SIMULATION methods & models, STOCHASTIC differential equations, HERMITE polynomials, DIFFUSION kinetics, ITERATIVE methods (Mathematics), COMPUTER simulation

The non parametric estimation of uncertain differential equations based on Hermite polynomials approximation with applications.

Συγγραφείς: Li, Anshui¹ (AUTHOR), Yang, Xiangfeng² (AUTHOR) yangxf@uibe.edu.cn

Πηγή: Communications in Statistics: Theory & Methods. Oct2025, p1-18. 18p. 3 Illustrations.

Θεματικοί όροι: *ERROR analysis in mathematics, *EMPIRICAL research, *STOCHASTIC processes, NONPARAMETRIC estimation, HERMITE polynomials, STOCHASTIC differential equations

Semiparametric single-index estimation for average treatment effects.

Συγγραφείς: Huang, Difang¹ (AUTHOR), Gao, Jiti² (AUTHOR) jiti.gao@gmail.com, Oka, Tatsushi³ (AUTHOR)

Πηγή: Econometric Reviews. 2025, Vol. 44 Issue 6, p843-885. 43p.

Θεματικοί όροι: ASYMPTOTIC normality, HERMITE polynomials, CAUSAL inference, BIRTH weight, TREATMENT effectiveness

On the Characteristic Polynomial of the Eigenvalue Moduli of Random Normal Matrices.

Συγγραφείς: Byun, Sung-Soo¹ (AUTHOR) sungsoobyun@kias.re.kr, Charlier, Christophe² (AUTHOR) christophe.charlier@math.lu.se

Πηγή: Constructive Approximation. Dec2025, Vol. 62 Issue 3, p471-521. 51p.

Θεματικοί όροι: *RANDOM matrices, *HERMITE polynomials, *EIGENVALUES, *ASYMPTOTIC expansions, *POINT processes

A Hahn-Type Characterization of Generalized Hermite Polynomials Through a Dunkl-Based Raising Operator.

Συγγραφείς: Alanezy, Khalid Ali¹ (AUTHOR) alanezy@kfupm.edu.sa, Souissi, Jihad² (AUTHOR)

Πηγή: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3371. 14p.

Θεματικοί όροι: *HERMITE polynomials, *ORTHOGONAL polynomials, *COMPOSITION operators, *PERTURBATION theory

Approximation operators explored through the lens of degenerate hermite polynomials.

Συγγραφείς: Raza, Nusrat¹ (AUTHOR) nraza.maths@gmail.com, Kumar, Manoj² (AUTHOR) mkumar5@myamu.ac.in, Mursaleen, M.^2,3,4 (AUTHOR) mursaleenm@gmail.com

Πηγή: Numerical Algorithms. Nov2025, Vol. 100 Issue 3, p1179-1198. 20p.

Θεματικοί όροι: *HERMITE polynomials, *APPROXIMATION theory, *VISUAL aids, *ASYMPTOTIC analysis, *APPROXIMATION algorithms, *MATHEMATICAL analysis, *POSITIVE operators

On Rainville-type generating functions for Hermite polynomials.

Συγγραφείς: Zahaf, Mohammed Brahim^1,2 (AUTHOR) mbzahaf@yahoo.fr, Mesk, Mohammed^2,3 (AUTHOR)

Πηγή: Integral Transforms & Special Functions. Oct2025, Vol. 36 Issue 10, p883-902. 20p.

Θεματικοί όροι: *HERMITE polynomials, *CHEBYSHEV polynomials, *GENERATING functions, *SPECIAL functions, *CALCULUS

The bicomplex–real calculus and applications to bicomplex Hermite-Itô polynomials.

Συγγραφείς: Alpay, Daniel¹ (AUTHOR) alpay@chapman.edu, Diki, Kamal² (AUTHOR) Kamal.Diki@UGent.be, Vajiac, Mihaela¹ (AUTHOR) mbvajiac@chapman.edu

Πηγή: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 10/1/2025, Vol. 383 Issue 2306, p1-18. 18p.

Θεματικοί όροι: *HERMITE polynomials, *ANALYTIC functions, *MATHEMATICAL formulas, *NUMERICAL analysis

Approximation and Analysis of the One-Bit Hermite Law

Συγγραφείς: Liu, Chun-Lin, Chou, Yi-Hung

Πηγή: ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) Acoustics, Speech and Signal Processing (ICASSP), ICASSP 2025 - 2025 IEEE International Conference on. :1-5 Apr, 2025

Relation: ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

Neutrosophic Hermite Polynomials: Mathematical Foundations for Quantum Systems with Fundamental Indeterminacy.

Συγγραφείς: Yahya, Khalil¹ khalil.yehia@damascusuniversity.edu.sy

Πηγή: Neutrosophic Sets & Systems. 2026, Vol. 95, p46-61. 16p.

Θεματικοί όροι: *HERMITE polynomials, *EIGENFUNCTIONS, *QUANTUM spin models, *NUMERICAL analysis, *INDETERMINISM (Philosophy), *DIFFERENTIAL equations, *MATHEMATICAL analysis, *MATHEMATICS

Re-examining symmetric q-Dunkl-classical orthogonal polynomials.

Συγγραφείς: Souissi, Jihad¹ (AUTHOR) jihad.souissi@fsg.rnu.tn

Πηγή: Journal of Difference Equations & Applications. Sep2025, Vol. 31 Issue 9, p1193-1210. 18p.

Θεματικοί όροι: *HERMITE polynomials, *GEGENBAUER polynomials, *DIFFERENCE equations, *ORTHOGONAL polynomials, *UNIQUENESS (Mathematics)

A Study of Symmetric q -Dunkl-Classical Orthogonal q -Polynomials Through a Second Structure Relation.

Συγγραφείς: Souissi, Jihad¹ (AUTHOR) jihad.souissi@fsg.rnu.tn, Alanezy, Khalid Ali² (AUTHOR)

Πηγή: Symmetry (20738994). Sep2025, Vol. 17 Issue 9, p1526. 28p.

Θεματικοί όροι: *HERMITE polynomials, *GEGENBAUER polynomials, *ORTHOGONAL polynomials, *MATHEMATICAL expansion

C 1 preserving Hermite interpolants for piecewise polynomials in two dimensions.

Συγγραφείς: Scott, L. Ridgway¹ (AUTHOR) ridg@uchicago.edu

Πηγή: Journal of Numerical Mathematics. Aug2025, p1. 19p. 1 Illustration.

Θεματικοί όροι: *HERMITE polynomials, *POLYNOMIALS, *INTERPOLATION, *GEOMETRIC shapes, *MATHEMATICAL variables

A new quintic Hermite based technique for solving the generalized Burgers' equation.

Συγγραφείς: Kaur, Inderpreet¹ (AUTHOR), Swati¹ (AUTHOR) swatirana555@gmail.com

Πηγή: Arabian Journal of Mathematics. Aug2025, Vol. 14 Issue 2, p219-232. 14p.

Θεματικοί όροι: *BURGERS' equation, *HERMITE polynomials, *NONLINEAR theories, *NUMERICAL solutions to equations, *STABILITY theory, *FINITE differences

Reviews & Products: MATLAB (Computer software)

Algebraic Characterizations and Properties of Bivariate 2D q‐Hermite–Based Appell Sequences.

Συγγραφείς: Zayed, Mohra¹ (AUTHOR), Wani, Shahid Ahmad² (AUTHOR) shahidwani177@gmail.com, Alqurashi, Taghreed³ (AUTHOR), Khan, Subuhi⁴ (AUTHOR)

Πηγή: Mathematical Methods in the Applied Sciences. Aug2025, Vol. 48 Issue 12, p12111-12122. 12p.

Θεματικοί όροι: *HERMITE polynomials, *POLYNOMIALS, *QUANTUM calculus, *RECURSIVE sequences (Mathematics), *MATHEMATICS

Dynamics of pollutant dispersion and solid–fluid interfacial layer in Jeffrey nanofluid flow subjected to waste discharge concentration: Implementation of probabilists' Hermite polynomial collocation method.

Συγγραφείς: J., Madhu¹ (AUTHOR), K., Karthik¹ (AUTHOR), R. S., Varun Kumar² (AUTHOR), R. J., Punith Gowda³ (AUTHOR), R., Naveen Kumar² (AUTHOR), B.C., Prasannakumara¹ (AUTHOR) dr.bcprasanna@gmail.com

Πηγή: Numerical Heat Transfer: Part A -- Applications. 2025, Vol. 86 Issue 13, p4445-4463. 19p.

Θεματικοί όροι: *SIMILARITY transformations, *HERMITE polynomials, *NANOPARTICLES, *SOLAR collectors, *COLLOCATION methods, *NANOFLUIDS

The Type 2 Degenerate Hermite-Based Apostol-Frobenius-type Poly-Genocchi Polynomials with Parameters a, b and c.

Συγγραφείς: Corcino, Roberto B.^1,2 corcinoc@cnu.edu.ph, Corcino, Cristina B.^1,3 rcorcino@yahoo.com

Πηγή: European Journal of Pure & Applied Mathematics. Jul2025, Vol. 18 Issue 3, p1-20. 20p.

Θεματικοί όροι: *HERMITE polynomials, *POLYNOMIALS, *BERNOULLI polynomials, *DIFFERENTIAL equations, *RECURSIVE sequences (Mathematics)

Certain Properties and Characterizations of Δh-Truncated Exponential Based Hermite Polynomials.

Συγγραφείς: Qawaqneh, Haitham¹ h.alqawaqneh@zuj.edu.jo, Khan, Waseem Ahmad² wkhan1@pmu.edu.sa, Aydi, Hassen^3,4 hassen.aydi@isima.rnu.tn, Wani, Shahid Ahmad⁵ shahidwani177@gmail.com, Jadhav, Prakash⁶ Prakash.j@srmap.edu.in

Πηγή: European Journal of Pure & Applied Mathematics. Jul2025, Vol. 18 Issue 3, p1-16. 16p.

Θεματικοί όροι: *HERMITE polynomials, *GENERATING functions, *IDENTITIES (Mathematics), *ABSTRACT algebra, *RECURSIVE sequences (Mathematics)

UMBRA AND ITS APPLICATION FOR q-HERMITE POLYNOMIALS

Συγγραφείς: Zainab, Umme^{Aff1, Aff2, IDs10958025080846_cor1}

Πηγή: Journal of Mathematical Sciences. :1-12

8 Dispersion-Corrected, Operationally Normalized Stabilization Diagrams for Robust Structural Identification

Πηγή: Model Validation and Uncertainty Quantification, 2015. Jun 27, 2025