Hankel%20functions
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1: 10.3 Graphics
§10.3 Graphics
►§10.3(i) Real Order and Variable
… ►§10.3(ii) Real Order, Complex Variable
►In the graphics shown in this subsection, height corresponds to the absolute value of the function and color to the phase. … ►§10.3(iii) Imaginary Order, Real Variable
…2: 10.75 Tables
The main tables in Abramowitz and Stegun (1964, Chapter 9) give to 15D, , , , to 10D, to 8D, ; , , , 8D; , , , , 5D or 5S; , , , , 10S; modulus and phase functions , , , , 8D.
§10.75(iii) Zeros and Associated Values of the Bessel Functions, Hankel Functions, and their Derivatives
… ►Döring (1966) tabulates all zeros of , , , , that lie in the sector , , to 10D. Some of the smaller zeros of and for are also included.
Kerimov and Skorokhodov (1985b) tabulates 50 zeros of the principal branches of and , 8D.
Bickley et al. (1952) tabulates or , or , , (.01 or .1) 10(.1) 20, 8S; , , , or , 10S.
3: Bibliography B
4: Bibliography C
5: 10.73 Physical Applications
§10.73(iii) Kelvin Functions
… ►§10.73(iv) Bickley Functions
…6: Bibliography F
7: Software Index
Open Source | With Book | Commercial | |||||||||||||||||||||||
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20 Theta Functions | |||||||||||||||||||||||||
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Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.