# Holonomic Functions in Computer Algebra, Slides for a Series of
Talks

Frédéric Chyzak
Preface

**Contents**
- Title, Preface (
1,
2,
3,
4)
- Part 0. Motivation (
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16)
- Part I. Implicit Representations of Special Functions and
Sequences (17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32)
- Part II. Gröbner Bases in Algebras of Linear Operators (
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48)
- Part III. Holonomy and Holonomic Functions (
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68)
- Part IV. Holonomic Summation and Integration (
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)
- Part V. Kashiwara's Theorem and Applications (
95,
96)
- Appendices (
97,
98,
99)