2022年福彩3D历史上的今天开奖号085期【杏彩官方qee9.com】yGfq2Nne
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11—20 of 111 matching pages
11: Bibliography N
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Mémoire sur les polynomes de Bernoulli.
Acta Math. 43, pp. 121–196 (French).
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12: 12.1 Special Notation
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►An older notation, due to Whittaker (1902), for is .
The notations are related by .
Whittaker’s notation is useful when is a nonnegative integer (Hermite polynomial case).
13: 26.10 Integer Partitions: Other Restrictions
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denotes the number of partitions of into distinct parts.
denotes the number of partitions of into at most distinct parts.
denotes the number of partitions of into parts with difference at least .
…If more than one restriction applies, then the restrictions are separated by commas, for example, .
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►Note that , with strict inequality for .
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14: 28.25 Asymptotic Expansions for Large
15: 1.10 Functions of a Complex Variable
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►Let be a bounded domain with boundary and let .
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►If is harmonic in , , and for all , then is constant in .
Moreover, if is bounded and is continuous on and harmonic in , then is maximum at some point on .
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►Let be a multivalued function and be a domain.
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►Suppose is a domain, and
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16: 19.21 Connection Formulas
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►The complete case of can be expressed in terms of and :
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is symmetric only in and , but either (nonzero) or (nonzero) can be moved to the third position by using
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19.21.8
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19.21.9
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►Because is completely symmetric, can be permuted on the right-hand side of (19.21.10) so that if the variables are real, thereby avoiding cancellations when is calculated from and (see §19.36(i)).
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17: 19.15 Advantages of Symmetry
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►Elliptic integrals are special cases of a particular multivariate hypergeometric function called Lauricella’s
(Carlson (1961b)).
The function (Carlson (1963)) reveals the full permutation symmetry that is partially hidden in , and leads to symmetric standard integrals that simplify many aspects of theory, applications, and numerical computation.
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18: 1.16 Distributions
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►We denote it by .
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►for all .
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►If is a locally integrable function then its distributional derivative is .
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►The distributional derivative
of is defined by
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19: 26.6 Other Lattice Path Numbers
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Delannoy Number
► is the number of paths from to that are composed of directed line segments of the form , , or . … ► … ►
26.6.4
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26.6.10
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