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11: 22.9 Cyclic Identities
§22.9 Cyclic Identities
… ►§22.9(ii) Typical Identities of Rank 2
… ► ►§22.9(iii) Typical Identities of Rank 3
… ►12: 6.4 Analytic Continuation
13: 26.15 Permutations: Matrix Notation
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►where the sum is over
and .
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►For , denotes after removal of all elements of the form or , .
denotes with the element removed.
►
26.15.5
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►
26.15.8
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14: 33.8 Continued Fractions
15: 4.24 Inverse Trigonometric Functions: Further Properties
16: 28.20 Definitions and Basic Properties
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►When is replaced by , (28.2.1) becomes the modified Mathieu’s equation:
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►Then from §2.7(ii) it is seen that equation (28.20.2) has independent and unique solutions that are asymptotic to as in the respective sectors , being an arbitrary small positive constant.
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►
►
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►And for the corresponding identities for the radial functions use (28.20.15) and (28.20.16).
17: 10.34 Analytic Continuation
18: 26.10 Integer Partitions: Other Restrictions
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►The set is denoted by .
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►where the last right-hand side is the sum over
of the generating functions for partitions into distinct parts with largest part equal to .
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►where the sum is over nonnegative integer values of for which .
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►where the sum is over nonnegative integer values of for which .
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►where the sum is over nonnegative integer values of for which .
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19: 3.5 Quadrature
20: 10.36 Other Differential Equations
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►
10.36.2
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