Bessel Functions Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Källén Function and Around

Explore the remarkable Källén function, from its mathematical origins to applications in physics, combinatorics, and differential equations with connections to hypergeometric functions.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Differential Equations Part II Series Solutions

12 ratings at Coursera

Learn advanced techniques for solving differential equations, including series solutions, Frobenius method, and special functions like Bessel and Legendre polynomials.

• Coursera
• 14 hours 21 minutes
• On-Demand
• Paid Course

Gautam Varde

Engineering Mathematics for BE/BTech and BSc - Complete Syllabus

Master engineering mathematics fundamentals including vector calculus, Laplace transforms, differential equations, complex variables, and series solutions for BE/BTech students.

• YouTube
• 20 hours 41 minutes
• On-Demand
• Free Video

Master special functions through Wolfram Language: gamma, zeta, Bessel, Airy functions, orthogonal polynomials, hypergeometric functions, and advanced topics for math, physics, and engineering.

• Wolfram U
• 6 hours
• On-Demand
• Free Certificate

International Centre for Theoretical Sciences

Cosmology - Lecture 2: Path Integrals and Harmonic Oscillators

Explore advanced cosmology concepts including path integrals, harmonic oscillation, wave functions, and boundary conditions in this in-depth lecture by renowned physicist Nima Arkani-Hamed.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

Special Functions

Explore special functions in physics, including spiritual harmonics, addition theorems, and Bessel functions, enhancing mathematical understanding for advanced applications.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Schmid College, Chapman University

On a Function of G.H. Hardy and J.E. Littlewood

Explore Hardy and Littlewood's series expansion, its broader context, and connections to Beurling's theorem and ternary quadratic forms' zeta functions.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Dunkl Operators, Random Matrices and Hurwitz Numbers

Explore probabilistic aspects of Dunkl operators, including radial Dunkl processes, reflected Brownian motion in Weyl chambers, and connections to Hurwitz numbers and generalized Bessel functions.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Wolfram

Proving Theorems with Mathematica - Pólya's Conjecture and Beyond

Explore advanced theorem-proving techniques using Mathematica to tackle Pólya's conjecture in spectral geometry and analyze Bessel function properties for geometric shapes.

• YouTube
• 22 minutes
• On-Demand
• Free Video

SCI MUNI

Multiplicative Kernels: From Bessel to Calabi-Yau, Buchstaber and Kontsevich

Explore advanced mathematical concepts connecting Bessel functions to Calabi-Yau manifolds, examining multiplicative kernels and their relationships through Buchstaber and Kontsevich's work.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Kontsevich and Buchstaber Polynomials, Multiplication Kernels, and N-valued Formal Groups

Delve into advanced mathematical concepts exploring multiplication kernels, Sonine-Gegenbauer formulas, and Buchstaber-Kontsevich discriminant locus through polynomial analysis and N-valued formal groups.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Mathematics III

Explore advanced mathematical concepts including ODEs, improper integrals, series solutions, Bessel functions, Laplace transformations, and partial differential equations.

• YouTube
• 18 hours
• On-Demand
• Free Video

IIT Madras;  NPTEL

Differential Equations for Engineers

1 review

Comprehensive exploration of differential equations and their applications in engineering, covering ODEs, PDEs, and solution methods for various physical phenomena.

• Swayam
• 12 weeks
• Finished
• Free Online Course

Mathematical Modeling

Master advanced mathematical modeling techniques from power series to optimization, applying theoretical concepts to solve real-world problems across engineering, physics, and economics.

• Swayam
• 15 weeks
• Finished
• Free Online Course