/usr/share/maxima/5.32.1/demo/hypgeo.dem is in maxima 5.32.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 | /* This is a sample of answers from the under construction program,
which deals with "Bateman's Manuscript Project". */
assume(p > 0, a > 0, b > 0);
/* laplace transforms */
/* some elementary functions. */
t^(1/2)*%e^(-a*t/4)*%e^(-p*t);
specint(%,t);
t^(3/4)*%e^(-t^2/2/b)*%e^(-p*t);
specint(%,t);
t^(-1/2)*%e^(-2*a^(1/2)*t^(1/2))*%e^(-p*t);
specint(%,t);
/* Next example triggers a bug:
* "Is psey positive, negative, or zero?"
* psey is an internal variable
* bug report # 1635365
*
t^(1/2)*%e^(-p*t-a/t);
specint(%,t);
*/
/* Next example triggers a bug:
* internal variable fail-on-f24p146test appears
* bug report # 1635372
*
sin(a*t)*cosh(b*t^2)*%e^(-p*t);
radcan(specint(%,t));
*/
/* some "confluents". notice that "%m[k,m](z)" is a whittaker function. */
%e^(-a*t)*t^2*erf(t^(1/2))*%e^(-p*t);
specint(%,t);
factor(radcan(%));
t^(3/2)*%m[1/2,1](t)*%e^(-p*t);
specint(%,t);
factor(radcan(%));
/* some bessel functs (bf's). */
/* %j[v](z), 1st kind of bf's. */
/* %y[v](z), 2nd kind of bf's.*/
/* %h[v,1](z), 1st kind of the 3rd kind of bf's (1st hankel). */
/* %h[v,2](z), 2nd kind of the 3rd kind of bf's (2nd hankel).*/
t^(1/2)*bessel_j(1, 2*a^(1/2)*t^(1/2))*%e^(-p*t);
specint(%,t);
t^2*bessel_j(1, a*t)*%e^(-p*t);
specint(%,t);
factor(radcan(%));
t^(3/2)*bessel_y(1, a*t)*%e^(-t);
specint(%,t);
t^(3/2)*%h[1/2,1](t)*%e^(-p*t);
specint(%,t);
factor(radcan(%));
t^(1/2)*%h[3/4,2](t)*%e^(-p*t);
specint(%,t);
ratsimp(%);
t*%h[2/3,1](t^(1/2))*%e^(-p*t);
specint(%,t);
ratsimp(%);
/* bessel_i(v,z), %k[v](z), modified bf's. */
t^(1/2)*bessel_i(1,t)*%e^(-p*t);
specint(%,t);
ratsimp(%);
bessel_j(1, t)^2*%e^(-p*t+r);
specint(%,t);
t^(1/2)*bessel_j(1/2, t^(1/2))^2*%e^(-p*t);
specint(%,t);
t^(5/2)*bessel_y(1/2, t^(1/2))^2*%e^(-p*t);
specint(%,t);
ratsimp(%);
/*some combinations of products of bessel functions*/
t^(3/4)*bessel_j(1/2, t)*bessel_j(1/4, t)*%e^(-p*t);
specint(%,t);
ratsimp(%);
/* Next example triggers asksign of (psey - a)*(psey + a)
* bug report # 1635365
*
t*bessel_i(0,a*t/2)*bessel_i(1,a*t/2)*%e^(-p*t);
specint(%,t);
*/
/* related to bf's functions. */
/* struve functions. */
t^(3/2)*hstruve[1](t^(1/2))*%e^(-p*t);
specint(%,t);
radcan(%);
t*hstruve[1](t)*%e^(-p*t);
specint(%,t);
radcan(%);
forget(p > 0, a > 0, b > 0);
|