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21: 9.12 Scorer Functions
22: 5.12 Beta Function
23: 25.11 Hurwitz Zeta Function
§25.11 Hurwitz Zeta Function
►§25.11(i) Definition
… ►The Riemann zeta function is a special case: … ►§25.11(ii) Graphics
… ►§25.11(vi) Derivatives
…24: 8.17 Incomplete Beta Functions
§8.17 Incomplete Beta Functions
… ►§8.17(ii) Hypergeometric Representations
… ►For the hypergeometric function see §15.2(i). ►§8.17(iii) Integral Representation
… ►§8.17(vi) Sums
…25: 10.1 Special Notation
…
►(For other notation see Notation for the Special Functions.)
…
►For the spherical Bessel functions and modified spherical Bessel functions the order is a nonnegative integer.
For the other functions when the order is replaced by , it can be any integer.
For the Kelvin functions the order is always assumed to be real.
…
►For older notations see British Association for the Advancement of Science (1937, pp. xix–xx) and Watson (1944, Chapters 1–3).
26: 4.2 Definitions
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: 25.1 Special Notation
…
►(For other notation see Notation for the Special Functions.)
►
►
►The main function treated in this chapter is the Riemann zeta function
.
…
►The main related functions are the Hurwitz zeta function
, the dilogarithm , the polylogarithm (also known as Jonquière’s function
), Lerch’s transcendent , and the Dirichlet -functions
.
nonnegative integers. | |
… | |
primes | on function symbols: derivatives with respect to argument. |