implicit function theorem
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21: 17.1 Special Notation
§17.1 Special Notation
►(For other notation see Notation for the Special Functions.) ►nonnegative integers. | |
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22: 4.37 Inverse Hyperbolic Functions
§4.37 Inverse Hyperbolic Functions
►§4.37(i) General Definitions
… ►Each of the six functions is a multivalued function of . … ►Other Inverse Functions
… ►§4.37(vi) Interrelations
…23: 11.10 Anger–Weber Functions
§11.10 Anger–Weber Functions
… ►§11.10(v) Interrelations
… ►§11.10(vi) Relations to Other Functions
… ► … ►§11.10(viii) Expansions in Series of Products of Bessel Functions
…24: 4.23 Inverse Trigonometric Functions
§4.23 Inverse Trigonometric Functions
►§4.23(i) General Definitions
… ►Other Inverse Functions
… ►§4.23(viii) Gudermannian Function
… ►The inverse Gudermannian function is given by …25: 8.17 Incomplete Beta Functions
§8.17 Incomplete Beta Functions
… ►§8.17(ii) Hypergeometric Representations
… ►§8.17(iii) Integral Representation
… ►§8.17(iv) Recurrence Relations
… ►§8.17(vi) Sums
…26: 23.2 Definitions and Periodic Properties
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§23.2(i) Lattices
… ► … ►§23.2(ii) Weierstrass Elliptic Functions
… ► ►§23.2(iii) Periodicity
…27: 12.14 The Function
§12.14 The Function
… ►§12.14(vii) Relations to Other Functions
►Bessel Functions
… ►Confluent Hypergeometric Functions
… ►§12.14(x) Modulus and Phase Functions
…28: 30.1 Special Notation
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►(For other notation see Notation for the Special Functions.)
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►The main functions treated in this chapter are the eigenvalues and the spheroidal wave functions
, , , , and , .
…Meixner and Schäfke (1954) use , , , for , , , , respectively.
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