[ceph.git] / ceph / src / boost / libs / math / doc / equations / polygamma5.mml

<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
  'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
  [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>polygamma5</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <msup>
      <mi>&#x03C8;</mi>
      <mrow>
        <mfenced>
          <mrow>
            <mi>n</mi>
          </mrow>
        </mfenced>
      </mrow>
    </msup>
    <mfenced>
      <mrow>
        <mi>x</mi>
      </mrow>
    </mfenced>
    <mo>&#x221D;</mo>
    <mfrac>
      <mrow>
        <msup>
          <mfenced>
            <mrow>
              <mo>&#x2212;</mo>
              <mn>1</mn>
            </mrow>
          </mfenced>
          <mrow>
            <mi>n</mi>
            <mo>&#x2212;</mo>
            <mn>1</mn>
          </mrow>
        </msup>
        <mfenced>
          <mrow>
            <mi>n</mi>
            <mo>&#x2212;</mo>
            <mn>1</mn>
          </mrow>
        </mfenced>
        <mo>!</mo>
        <mfenced>
          <mrow>
            <mi>n</mi>
            <mo>+</mo>
            <mn>2</mn>
            <mi>x</mi>
          </mrow>
        </mfenced>
      </mrow>
      <mrow>
        <mn>2</mn>
        <msup>
          <mi>x</mi>
          <mrow>
            <mi>n</mi>
            <mo>+</mo>
            <mn>1</mn>
          </mrow>
        </msup>
      </mrow>
    </mfrac>
    <mo>&#x2212;</mo>
    <msup>
      <mfenced>
        <mrow>
          <mo>&#x2212;</mo>
          <mn>1</mn>
        </mrow>
      </mfenced>
      <mi>n</mi>
    </msup>
    <munderover>
      <mo>&#x2211;</mo>
      <mrow>
        <mi>k</mi>
        <mo>=</mo>
        <mn>1</mn>
      </mrow>
      <mi>&#x221E;</mi>
    </munderover>
    <mfrac>
      <mrow>
        <mfenced>
          <mrow>
            <mn>2</mn>
            <mi>k</mi>
            <mo>+</mo>
            <mi>n</mi>
            <mo>&#x2212;</mo>
            <mn>1</mn>
          </mrow>
        </mfenced>
        <mo>!</mo>
      </mrow>
      <mrow>
        <mfenced>
          <mrow>
            <mn>2</mn>
            <mi>k</mi>
          </mrow>
        </mfenced>
        <mo>!</mo>
        <msup>
          <mi>x</mi>
          <mrow>
            <mn>2</mn>
            <mi>k</mi>
            <mo>+</mo>
            <mi>n</mi>
          </mrow>
        </msup>
      </mrow>
    </mfrac>
    <msub>
      <mi>B</mi>
      <mrow>
        <mn>2</mn>
        <mi>k</mi>
      </mrow>
    </msub>
  </mrow>
</math>
</body>
</html>
Commit	Line	Data
7c673cae FG	1	<?xml version='1.0'?>
	2	<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
	3	'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
	4	[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
	5	<html xmlns='http://www.w3.org/1999/xhtml'>
	6	<head><title>polygamma5</title>
	7	<!-- MathML created with MathCast Equation Editor version 0.89 -->
	8	</head>
	9	<body>
	10	<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
	11	<mrow>
	12	<msup>
	13	<mi>ψ</mi>
	14	<mrow>
	15	<mfenced>
	16	<mrow>
	17	<mi>n</mi>
	18	</mrow>
	19	</mfenced>
	20	</mrow>
	21	</msup>
	22	<mfenced>
	23	<mrow>
	24	<mi>x</mi>
	25	</mrow>
	26	</mfenced>
	27	<mo>∝</mo>
	28	<mfrac>
	29	<mrow>
	30	<msup>
	31	<mfenced>
	32	<mrow>
	33	<mo>−</mo>
	34	<mn>1</mn>
	35	</mrow>
	36	</mfenced>
	37	<mrow>
	38	<mi>n</mi>
	39	<mo>−</mo>
	40	<mn>1</mn>
	41	</mrow>
	42	</msup>
	43	<mfenced>
	44	<mrow>
	45	<mi>n</mi>
	46	<mo>−</mo>
	47	<mn>1</mn>
	48	</mrow>
	49	</mfenced>
	50	<mo>!</mo>
	51	<mfenced>
	52	<mrow>
	53	<mi>n</mi>
	54	<mo>+</mo>
	55	<mn>2</mn>
	56	<mi>x</mi>
	57	</mrow>
	58	</mfenced>
	59	</mrow>
	60	<mrow>
	61	<mn>2</mn>
	62	<msup>
	63	<mi>x</mi>
	64	<mrow>
65	<mi>n</mi>
66	<mo>+</mo>
67	<mn>1</mn>
68	</mrow>
69	</msup>
70	</mrow>
71	</mfrac>
72	<mo>−</mo>
73	<msup>
74	<mfenced>
75	<mrow>
76	<mo>−</mo>
77	<mn>1</mn>
78	</mrow>
79	</mfenced>
80	<mi>n</mi>
81	</msup>
82	<munderover>
83	<mo>∑</mo>
84	<mrow>
85	<mi>k</mi>
86	<mo>=</mo>
87	<mn>1</mn>
88	</mrow>
89	<mi>∞</mi>
90	</munderover>
91	<mfrac>
92	<mrow>
93	<mfenced>
94	<mrow>
95	<mn>2</mn>
96	<mi>k</mi>
97	<mo>+</mo>
98	<mi>n</mi>
99	<mo>−</mo>
100	<mn>1</mn>
101	</mrow>
102	</mfenced>
103	<mo>!</mo>
104	</mrow>
105	<mrow>
106	<mfenced>
107	<mrow>
108	<mn>2</mn>
109	<mi>k</mi>
110	</mrow>
111	</mfenced>
112	<mo>!</mo>
113	<msup>
114	<mi>x</mi>
115	<mrow>
116	<mn>2</mn>
117	<mi>k</mi>
118	<mo>+</mo>
119	<mi>n</mi>
120	</mrow>
121	</msup>
122	</mrow>
123	</mfrac>
124	<msub>
125	<mi>B</mi>
126	<mrow>
127	<mn>2</mn>
128	<mi>k</mi>
129	</mrow>
130	</msub>
131	</mrow>
132	</math>
133	</body>
134	</html>