Vibrationdata Bessel Functions Page   by Tom Irvine Download :  Bessel_functions.pdf

Differential Equation Solution

Bessel Function of the First Kind Zero Order First Order Order n n = 0, 1, 2, . . .

Modified Bessel Function of the First Kind Zero Order First Order Higher Order Modified Bessel Function

Bessel Function of the Second Kind (Neumann Functions) Zero Order where c = 0.577 215 665 First Order

Modified Bessel Function of the Second Kind Zero Order

Half-Odd Integers

Recurrence Relations

First Derivative

Software Bessel_functions.exe Bessel_functions.cpp

Tutorials Referencing Bessel Functions Newton-Raphson Method Applied to Vibration Problems: Newrap.pdf Longitudinal Vibration of a Tapered Rod: taper_long.pdf  Natural Frequencies of Circular Plate Bending Modes: circular.pdf

Bessel Function Books

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Please send comments and questions to Tom Irvine at: tomirvine@aol.com  Other Math Pages | math software | Laplace Transforms | Factorial | Euler's Equation | Bessel Function | | Gamma Function | Partial Fractions | Root of Complex Number   Web www.vibrationdata.com