# Mathematical Methods for Physicists

@inproceedings{Arfken1966MathematicalMF, title={Mathematical Methods for Physicists}, author={George B. Arfken}, year={1966} }

Vector Analysis. Curved Coordinates, Tensors. Determinants and Matrices. Group Theory. Infinite Series. Functions of a Complex Variable I. Functions of a Complex Variable II. Differential Equations. Sturm-Liouville Theory. Gamma-Factrial Function. Bessel Functions. Legendre Functions. Special Functions. Fourier Series. Integral Transforms. Integral Equations. Calculus of Variations. Nonlinear Methods and Chaos.

## 8,541 Citations

### Mathematical Methods in Engineering

- Mathematics
- 2015

1. Multivariable calculus 2. Vectors and tensors in Cartesian coordinates 3. First-order ordinary differential equations 4. Linear ordinary differential equations 5. Approximation methods 6. Linear…

### Calculation of a formal moment generating function by using a differential operator

- MathematicsJ. Symb. Comput.
- 2008

### Fourier transform containing a pair of complex gamma functions with a monomial: Mathematical and physical applications

- Mathematics
- 2016

One of the goals of the present paper is to propose an elementary method to find a general formula for the Fourier transform containing a pair of complex gamma functions with a monomial sm in terms…

### HERMITE POLYNOMIALS THROUGH LINEAR ALGEBRA

- Physics
- 2017

Hermite differential equation and its solutions, i.e. Hermite polynomials, are found in many important physical problems. The study of the quantum harmonic oscillator is an important example [1],…

### On sums of numerical series and Fourier series

- Mathematics
- 2008

We discuss a class of trigonometric functions whose corresponding Fourier series, on a conveniently choosen interval, can be used to calculate several numerical series. Particular cases are presented…

### Matrix Representations for Vector Differential Operators in General Orthogonal Coordinates

- Mathematics
- 2004

The restrictions in arbitrary orthogonal coordinates to a unified matrix presentation of vector operations using generalized differential matrix operators [Y. Chen et al.: IEEE Trans. on Educ., Vol.…

### Classical Special Functions and Lie Groups

- Mathematics
- 2014

The classical orthogonal functions of mathematical physics are closely related to Lie groups. Specifically, they are matrix elements of, or basis vectors for, unitary irreducible representations of…

### Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions

- MathematicsJ. Approx. Theory
- 2011

## References

SHOWING 1-3 OF 3 REFERENCES

### A Course of Modern Analysis

- ArtNature
- 1916

The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.

### Feshbach, Methods of Theoretical Physics , 2 vols

- New York: McGraw-Hill
- 1953

### As a reference book for mathematical physics, it is particularly valuable for existence theorems and discussions of areas such as eigenvalue problems, integral equations, and calculus of variations

- Methods of Mathematical Physics ,
- 1953