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Title: Hankel Function -- from Wolfram MathWorld

Open Graph Title: Hankel Function -- from Wolfram MathWorld

X Title: Hankel Function -- from Wolfram MathWorld

Description: There are two types of functions known as Hankel functions. The more common one is a complex function (also called a Bessel function of the third kind, or Weber Function) which is a linear combination of Bessel functions of the first and second kinds. Another type of Hankel function is defined by the contour integral H_epsilon(z)=int_(C_epsilon)((-w)^(z-1)e^(-w))/(1-e^(-w))dw for I[w]<0, |arg(-w)|0, where C_epsilon is a Hankel contour. The Riemann zeta function...

Open Graph Description: There are two types of functions known as Hankel functions. The more common one is a complex function (also called a Bessel function of the third kind, or Weber Function) which is a linear combination of Bessel functions of the first and second kinds. Another type of Hankel function is defined by the contour integral H_epsilon(z)=int_(C_epsilon)((-w)^(z-1)e^(-w))/(1-e^(-w))dw for I[w]<0, |arg(-w)|0, where C_epsilon is a Hankel contour. The Riemann zeta function...

X Description: There are two types of functions known as Hankel functions. The more common one is a complex function (also called a Bessel function of the third kind, or Weber Function) which is a linear combination of Bessel functions of the first and second kinds. Another type of Hankel function is defined by the contour integral H_epsilon(z)=int_(C_epsilon)((-w)^(z-1)e^(-w))/(1-e^(-w))dw for I[w]<0, |arg(-w)|0, where C_epsilon is a Hankel contour. The Riemann zeta function...

Opengraph URL: https://mathworld.wolfram.com/HankelFunction.html

X: @WolframResearch

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