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1: 26.14 Permutations: Order Notation
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►The major index is the sum of all positions that mark the first element of a descent:
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26.14.2
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►The major index is also called the greater index of the permutation.
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2: 26.16 Multiset Permutations
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►The definitions of inversion number and major index can be extended to permutations of a multiset such as .
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3: 20 Theta Functions
Chapter 20 Theta Functions
…4: 8 Incomplete Gamma and Related
Functions
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5: 28 Mathieu Functions and Hill’s Equation
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6: Bibliography M
7: Preface
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►Olver was responsible for organizing and editing the mathematical content after receiving it from the authors; for communicating with the associate editors, authors, validators, and other technical experts; and for assembling the Notations section and the Index.
…Boisvert and Clark were responsible for advising and assisting in matters related to the use of information technology and applications of special functions in the physical sciences (and elsewhere); they also participated in the resolution of major administrative problems when they arose.
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►Youssef was responsible for mathematics search indexing and query processing.
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Abdou Youssef, Mathematics and Search Indexing, George Washington University and NIST
8: 23 Weierstrass Elliptic and Modular
Functions
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9: 32.16 Physical Applications
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►Statistical physics, especially classical and quantum spin models, has proved to be a major area for research problems in the modern theory of Painlevé transcendents.
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10: Ingram Olkin
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►His well-known books in the statistics community include Theory
of Majorization and its Applications (with A.
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