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11—20 of 434 matching pages
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: 7.23 Tables
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Zhang and Jin (1996, pp. 637, 639) includes , , , 8D; , , , 8D.
Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
Fettis et al. (1973) gives the first 100 zeros of and (the table on page 406 of this reference is for , not for ), 11S.
13: 6.4 Analytic Continuation
14: 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.
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26.15.5
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26.15.8
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15: 33.8 Continued Fractions
16: 4.24 Inverse Trigonometric Functions: Further Properties
17: 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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►And for the corresponding identities for the radial functions use (28.20.15) and (28.20.16).
18: 10.34 Analytic Continuation
19: 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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