| 1. | A popular ( Fourier ) integral representation for it, introduced by George Baker is
|
| 2. | He discussed the recurrence relations to motivate and to obtain a convenient integral representation.
|
| 3. | For every function, every point and every multiindex, the following integral representation formula holds
|
| 4. | Moreover, the following Stieltjes integral representation for " T " can be proved:
|
| 5. | These forms of linear combination satisfy numerous simple-looking properties, like asymptotic formulae or integral representations.
|
| 6. | The Hankel functions admit the following integral representations for Re ( " x " ) > 0:
|
| 7. | Where we made use of the integral representation of ? and the formula about | z s | above.
|
| 8. | The one may be converted to the other by making use of the integral representation of the Gamma function:
|
| 9. | They arise in the description of near-field Fresnel diffraction phenomena and are defined through the following integral representations:
|
| 10. | Hopf s collaboration with Sommerfeld on integral representations of Bessel Functions resulted in the publication of a paper in 1911.
|