The symbol defined by
 |  | ![(2^(-2n){(4v^2-1)(4v^2-3^2)...[4v^2-(2n-1)^2]})/(n!)](/images/equations/HankelsSymbol/Inline3.svg) |
(1)
|
 |  |  |
(2)
|
where 
is the gamma function. If 
is an integer, then this simplifies to
 |
(3)
|
given incorrectly by Erdélyi et al. (1981, p. 52).
Hankel's Symbol
See also
Kramp's Symbol, Pochhammer SymbolExplore with Wolfram|Alpha
References
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 1. New York: Krieger, p. 52, 1981.Referenced on Wolfram|Alpha
Hankel's SymbolCite this as:
Weisstein, Eric W. "Hankel's Symbol." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HankelsSymbol.html