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Title: Bessel Function -- from Wolfram MathWorld

Open Graph Title: Bessel Function -- from Wolfram MathWorld

X Title: Bessel Function -- from Wolfram MathWorld

Description: A Bessel function Z_n(x) is a function defined by the recurrence relations Z_(n+1)+Z_(n-1)=(2n)/xZ_n (1) and Z_(n+1)-Z_(n-1)=-2(dZ_n)/(dx). (2) The Bessel functions are more frequently defined as solutions to the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)+(x^2-n^2)y=0. (3) There are two main classes of solution, called the Bessel function of the first kind J_n(x) and Bessel function of the second kind Y_n(x). (A Bessel function of the third kind, more commonly called a...

Open Graph Description: A Bessel function Z_n(x) is a function defined by the recurrence relations Z_(n+1)+Z_(n-1)=(2n)/xZ_n (1) and Z_(n+1)-Z_(n-1)=-2(dZ_n)/(dx). (2) The Bessel functions are more frequently defined as solutions to the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)+(x^2-n^2)y=0. (3) There are two main classes of solution, called the Bessel function of the first kind J_n(x) and Bessel function of the second kind Y_n(x). (A Bessel function of the third kind, more commonly called a...

X Description: A Bessel function Z_n(x) is a function defined by the recurrence relations Z_(n+1)+Z_(n-1)=(2n)/xZ_n (1) and Z_(n+1)-Z_(n-1)=-2(dZ_n)/(dx). (2) The Bessel functions are more frequently defined as solutions to the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)+(x^2-n^2)y=0. (3) There are two main classes of solution, called the Bessel function of the first kind J_n(x) and Bessel function of the second kind Y_n(x). (A Bessel function of the third kind, more commonly called a...

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

X: @WolframResearch

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