Lines Matching full:functions

8 [section:airy Airy Functions]
35 See Weisstein, Eric W. "Airy Functions." From MathWorld--A Wolfram Web Resource.
49 This function is implemented entirely in terms of the Bessel functions 
50 __cyl_bessel_j and __cyl_bessel_k - refer to those functions for detailed accuracy information.
59 Since this function is implemented in terms of other special functions, there are only a few 
60 basic sanity checks, using test values from [@http://functions.wolfram.com/ Wolfram Airy Functions].
64 This function is implemented in terms of the Bessel functions using the relations:
103 This function is implemented entirely in terms of the Bessel functions 
104 __cyl_bessel_i and __cyl_bessel_j - refer to those functions for detailed accuracy information.
113 Since this function is implemented in terms of other special functions, there are only a few 
114 basic sanity checks, using test values from [@http://functions.wolfram.com functions.wolfram.com].
118 This function is implemented in terms of the Bessel functions using the relations:
157 This function is implemented entirely in terms of the Bessel functions 
158 __cyl_bessel_j and __cyl_bessel_k - refer to those functions for detailed accuracy information.
167 Since this function is implemented in terms of other special functions, there are only a few 
168 basic sanity checks, using test values from [@http://functions.wolfram.com functions.wolfram.com].
172 This function is implemented in terms of the Bessel functions using the relations:
211 This function is implemented entirely in terms of the Bessel functions 
212 __cyl_bessel_i and __cyl_bessel_j - refer to those functions for detailed accuracy information.
221 Since this function is implemented in terms of other special functions, there are only a few 
222 basic sanity checks, using test values from [@http://functions.wolfram.com functions.wolfram.com].
226 This function is implemented in terms of the Bessel functions using the relations:
232 [section:airy_root Finding Zeros of Airy Functions]
238 Functions for obtaining both a single zero or root of the Airy functions,
242 The signature of the single value functions are:
295 The Airy Ai and Bi functions have an infinite
309 of the Airy Ai and Bi functions are computed by two functions,
321 The first few zeros returned by these functions have approximate values as follows:
387 [endsect] [/section:airy_root Finding Zeros of Airy Functions]
389 [endsect] [/section:airy Airy Functions]