relations to trigonometric functions
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1: 4.28 Definitions and Periodicity
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Relations to Trigonometric Functions
…2: 18.11 Relations to Other Functions
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►See §§18.5(i) and 18.5(iii) for relations to trigonometric functions, the hypergeometric function, and generalized hypergeometric functions.
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3: 18.5 Explicit Representations
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Chebyshev
…4: 11.10 Anger–Weber Functions
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11.10.18
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5: 6.11 Relations to Other Functions
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6.11.3
6: 19.5 Maclaurin and Related Expansions
§19.5 Maclaurin and Related Expansions
… ►where is the Gauss hypergeometric function (§§15.1 and 15.2(i)). … … ►Coefficients of terms up to are given in Lee (1990), along with tables of fractional errors in and , , obtained by using 12 different truncations of (19.5.6) in (19.5.8) and (19.5.9). … ►An infinite series for is equivalent to the infinite product …7: 7.11 Relations to Other Functions
§7.11 Relations to Other Functions
►Incomplete Gamma Functions and Generalized Exponential Integral
… ►Confluent Hypergeometric Functions
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7.11.6
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Generalized Hypergeometric Functions
…8: 7.5 Interrelations
9: 29.2 Differential Equations
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§29.2(ii) Other Forms
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29.2.4
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29.2.5
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►we have
…For the Weierstrass function
see §23.2(ii).
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