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1: 19.2 Definitions
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►where is a polynomial in while and are rational functions of .
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►Here are real parameters, and and are real or complex variables, with , .
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§19.2(iv) A Related Function:
… ►Formulas involving that are customarily different for circular cases, ordinary hyperbolic cases, and (hyperbolic) Cauchy principal values, are united in a single formula by using . … ►For the special cases of and see (19.6.15). …2: 34.6 Definition: Symbol
3: 34.7 Basic Properties: Symbol
4: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
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►These are given by the following equations in which are nonnegative integers such that
… is the number of permutations of with cycles of length 1, cycles of length 2, , and cycles of length :
… is the number of set partitions of with subsets of size 1, subsets of size 2, , and subsets of size :
…For each all possible values of are covered.
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►where the summation is over all nonnegative integers such that .
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5: 16.12 Products
6: 10.48 Graphs
7: 34.1 Special Notation
8: 32.3 Graphics
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►Plots of solutions of with and for various values of , and the parabola .
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►Here is the solution of with and such that
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►Here is the solution of
…The corresponding solution of is given by
…with , , and
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