Mathematics - Classical Analysis and ODEs

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Classical Analysis and ODEs Understanding Discrete Paraorthogonal Polynomials

A clear look into the behavior of special polynomials on the unit circle.

G. Gordillo-Núñez, A. Suzuki

2025-04-22T15:08:54+00:00 ― 5 min read

Latest Articles

Classical Analysis and ODEs The Unique World of the Deformed Exponential Function

A deep dive into the deformed exponential function and its intriguing properties.

Alexey Kuznetsov

2025-04-08T20:37:50+00:00 ― 7 min read

Classical Analysis and ODEs Navigating the World of Hypergeometric Functions

Discover the complex realm of hypergeometric functions and their significance in mathematics.

Jinghong Lin, Yiming Ma, Xiaomeng Xu

2025-04-07T23:19:10+00:00 ― 6 min read

Classical Analysis and ODEs Matrix Valued Orthogonal Polynomials and Tiling Patterns

Discover how MVOP influence complex tiling arrangements and random patterns.

Arno B. J. Kuijlaars

2025-04-07T14:36:30+00:00 ― 5 min read

Classical Analysis and ODEs Shift Operators and Askey-Wilson Polynomials: A New Perspective

Learn how shift operators interact with Askey-Wilson polynomials for deeper insights.

Max van Horssen, Philip Schlösser

2025-04-04T02:05:00+00:00 ― 5 min read

Classical Analysis and ODEs The Quirky World of Singularities

Explore the thrilling twists of mathematical singularities and their secret lives.

Martin Klimeš

2025-04-03T23:25:10+00:00 ― 7 min read

Statistical Mechanics Understanding the Discrete Gauss-Poisson Distribution

Discover how a unique probability distribution reveals particle interactions.

O. A. Dobush, M. A. Shpot

2025-03-29T21:13:52+00:00 ― 6 min read

Dynamical Systems The Intricacies of Self-Affine Sets

Discover the fascinating world of self-affine sets and their unique properties.

Roope Anttila, Alex Rutar

2025-03-23T23:41:40+00:00 ― 5 min read

Number Theory The Magic of Discrete Maximal Functions

Discover how discrete maximal functions simplify complex data analysis.

Ankit Bhojak, Surjeet Singh Choudhary, Siddhartha Samanta

2025-03-22T21:03:20+00:00 ― 5 min read

Analysis of PDEs Waves in Beams: A Journey into Mechanics

Discover how waves travel through beams and impact structural safety.

Hana Formánková Levá, Gabriela Holubová, Petr Nečesal

2025-03-20T07:47:10+00:00 ― 6 min read

Classical Analysis and ODEs The Intriguing World of Multiple Orthogonal Polynomials

Discover how multiple orthogonal polynomials shape mathematics and its real-world applications.

Lidia Fernández, Juan Antonio Villegas

2025-03-10T21:21:20+00:00 ― 8 min read

Number Theory The Enigmatic Witten Zeta Function

Discover the intriguing behaviors of the Witten zeta function and its mysteries.

Kam Cheong Au

2025-03-01T08:15:40+00:00 ― 7 min read

Classical Analysis and ODEs Simplifying Stein's Spherical Maximal Operator

Breaking down complex math concepts with simple ideas and geometry.

Jonathan Hickman, Ajša Jančar

2025-02-27T00:19:10+00:00 ― 6 min read

Classical Analysis and ODEs The Power of Haar Shifts in Mathematics

Discover how Haar shifts simplify the analysis of complex functions.

José M. Conde Alonso, Nathan A. Wagner

2025-02-26T05:40:20+00:00 ― 6 min read

Functional Analysis Decoding Signals: The Art of Time-Encoding

A look into innovative methods for capturing and representing signals from our environment.

Diana Carbajal, José Luis Romero

2025-02-24T13:42:50+00:00 ― 6 min read

Functional Analysis Discovering the World of Multilinear Operators

Explore the fascinating world of multilinear Calderón-Zygmund operators and their applications.

Spyridon Kakaroumpas, Zoe Nieraeth

2025-02-18T13:51:50+00:00 ― 6 min read

Classical Analysis and ODEs Unraveling the World of Special Functions

Discover the fascinating role of special functions in mathematics and beyond.

Subuhi Khan, Ujair Ahmad, Mehnaz Haneef

2025-02-16T05:55:20+00:00 ― 8 min read

Classical Analysis and ODEs Fractals: The Wild Side of Geometry

Dive into the fascinating world of fractals and their properties.

Ying Wai Lee

2025-02-10T22:03:20+00:00 ― 7 min read

Classical Analysis and ODEs Decoding the Falconer Distance Problem

Explore the fascinating world of distances in compact sets.

Paige Bright, Caleb Marshall, Steven Senger

2025-02-06T08:50:10+00:00 ― 6 min read

Differential Geometry The Geometry of Bicycle Motion

Discover how curves shape bicycle stability and movement.

G. Bor, L. Hernández-Lamoneda, S. Tabachnikov

2025-02-02T22:15:20+00:00 ― 6 min read

Analysis of PDEs Understanding Parabolic Equations and Their Applications

Learn the basics of parabolic equations and their significance in real-world scenarios.

Pascal Auscher, Khalid Baadi

2025-02-02T00:56:40+00:00 ― 4 min read

Classical Analysis and ODEs The Intrigue of Spread Furstenberg Sets

Discover the fascinating world of spread Furstenberg sets in geometry.

Paige Bright, Manik Dhar

2025-02-01T08:57:40+00:00 ― 6 min read

Classical Analysis and ODEs Unlocking the Secrets of Generalized Trigonometric Integrals

Discover the fascinating world of generalized trigonometric integrals and their applications.

Gergő Nemes

2025-01-29T17:01:40+00:00 ― 7 min read