Lectures related to Special functions

Derivatives and Continuity in Multivariable Functions

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.

Whittaker Model: Properties and Analytic Continuation

Covers the properties of the Whittaker model and its analytic continuation.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Sobolev Spaces in Higher Dimensions

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Mathematical Functions and Limits

Covers mathematical functions, limits, and their applications.

Elementary Functions: Examples

Covers elementary functions like sin(x), cos(x), and tan(x) with examples and properties.

Norm Estimation and Continuity

Covers the estimation of norms and continuity in mathematical functions.

Partial Derivatives and Functions

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Advanced Analysis II: Examples and Representations

Explores advanced analysis topics through examples and graphical representations of functions.

Elementary Functions and Derivatives

Covers elementary functions, derivatives, limits, continuity, and differentiability.

Derivatives: Tangents and Secants

Covers derivatives, tangents, secants, and rules for deriving elementary functions.

Bessel equation: Bessel functions of the 1st kind

Explores the Bessel equation and the derivation of Bessel functions of the 1st kind.

Generalized Integrals: Convergence and Divergence

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Deficiency in Cupliere Sulposous

Explores deficiency in cupliere sulposous through mathematical functions and variable relationships.

Partial Derivatives Rules

Explores rules of derivation, including partial derivatives and cyclic identities.

Taylor Series: Applications and Exercises

Covers the application of Taylor series in writing functions and solving exercises.

Derivatives and Tangents

Introduces derivatives, tangent lines, rules of differentiation, and practical examples.

Fresnel Integrals: Curvilinear Integrals in R^2

Explores Fresnel integrals through curvilinear integrals in R^2, focusing on cos(x²-y) and sin(x) functions.

Control Structures; Functions

Covers control structures, loops, and functions in C language, emphasizing the importance of local variables and avoiding global variables.