Manuals/calci/BESSELJ - Revision history

Devika: /* Examples */

2021-09-29T13:02:06Z

Examples

2018-07-19T21:57:45Z

2017-03-14T10:44:27Z

2015-06-07T19:08:41Z

2015-06-03T17:00:35Z

ZOS Section

2014-06-11T09:25:16Z

2013-12-12T04:25:48Z

References

2013-12-11T05:47:06Z

Description

2013-12-05T09:26:55Z

Description

2013-12-03T06:32:16Z

References

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 ==Examples==
-#BESSELJ(2,3) = 0.12894325
+#BESSELJ(2,3) = 0.12894324997562717
-#BESSELJ(7,2) = -0.301417224
+#BESSELJ(7,2) = -0.3014172238218034
-#BESSELJ(5,1) = -0.327579139
+#BESSELJ(5,1) = -0.3275791385663632
 ==Related Videos==

@@ Line 2: / Line 2: @@
 *<math>x</math> is the value to evaluate the function
 *<math>n</math> is the order of the Bessel function and is an integer.
 ==Description==

← Older revision		Revision as of 10:44, 14 March 2017
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	==References==		==References==
	[http://en.wikipedia.org/wiki/Bessel_function Bessel Function]		[http://en.wikipedia.org/wiki/Bessel_function Bessel Function]
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

@@ Line 30: / Line 30: @@
 #BESSELJ(7,2) = -0.301417224
 #BESSELJ(5,1) = -0.327579139
 ==See Also==

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 . <math>n < 0</math>, because <math>n</math> is the order of the function.
-==ZOS Section==
+==ZOS==
 *The syntax is to calculate BESSELJ in ZOS is <math>BESSELJ(x,n)</math>.
 **<math>x</math> is the value to evaluate the function
 **<math>n</math> is the order of the Bessel function and is an integer.
 *For e.g.,BESSELJ(0.789..0.901..0.025,5)
 ==Examples==

← Older revision		Revision as of 04:25, 12 December 2013
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	==References==		==References==
−	[http://en.wikipedia.org/wiki/Bessel_function\| Bessel Function]	+	[http://en.wikipedia.org/wiki/Bessel_function Bessel Function]

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 *Bessel functions of the first kind, denoted as <math>J_n(x)</math>
 *The Bessel function of the first kind of order can be expressed as:
-<math>J_n(x)=\sum_{k=0}^\infty \frac{(-1)^k}{k!\Gamma(n+k+1)}*(\frac{x}{2})^{n+2k}</math>
+<math>J_n(x)=\sum_{k=0}^\infty \frac{(-1)^k*(\frac{x}{2})^{n+2k} }{k!\Gamma(n+k+1)}</math>
 *where <math>\Gamma(n+k+1)=(n+k)!</math> or
 *<math>\int\limits_{0}^{\infty} x^{n+k}*e^{-x} dx</math> is the Gamma Function.

@@ Line 6: / Line 6: @@
 *Bessel functions is also called Cylinder Functions because they appear in the solution to Laplace's equation in cylindrical coordinates.
 *Bessel's Differential Equation is defined as: <math>x^2\frac{d^2 y}{dx^2} + x\frac{dy}{dx} + (x^2 - \alpha^2)y =0</math>
-where <math>\alpha</math> is the Arbitrary Complex Number.
+where <math>\alpha</math> is the arbitrary Complex Number.
 *But in most of the cases <math>\alpha</math> is the non-negative real number.
 *The solutions of this equation are called Bessel Functions of order n.

← Older revision		Revision as of 06:32, 3 December 2013
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	==References==		==References==
−	[http://en.wikipedia.org/wiki/~~Absolute_value~~\| ~~Absolute_value~~]	+	[http://en.wikipedia.org/wiki/Bessel_function\| Bessel Function]