scaled spheroidal wave functions
(0.003 seconds)
31—40 of 962 matching pages
31: 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
…32: 22.15 Inverse Functions
§22.15 Inverse Functions
►§22.15(i) Definitions
… ►Each of these inverse functions is multivalued. The principal values satisfy … ►33: 35.1 Special Notation
…
►(For other notation see Notation for the Special Functions.)
…
►
►
►The main functions treated in this chapter are the multivariate gamma and beta functions, respectively and , and the special functions of matrix argument: Bessel (of the first kind) and (of the second kind) ; confluent hypergeometric (of the first kind) or and (of the second kind) ; Gaussian hypergeometric or ; generalized hypergeometric or .
►An alternative notation for the multivariate gamma function is (Herz (1955, p. 480)).
Related notations for the Bessel functions are (Faraut and Korányi (1994, pp. 320–329)), (Terras (1988, pp. 49–64)), and (Faraut and Korányi (1994, pp. 357–358)).
complex variables. | |
… |
34: 21.2 Definitions
…
►
§21.2(i) Riemann Theta Functions
… ► is also referred to as a theta function with components, a -dimensional theta function or as a genus theta function. ►For numerical purposes we use the scaled Riemann theta function , defined by (Deconinck et al. (2004)), … ►§21.2(ii) Riemann Theta Functions with Characteristics
… ►§21.2(iii) Relation to Classical Theta Functions
…35: 28.12 Definitions and Basic Properties
§28.12 Definitions and Basic Properties
… ►§28.12(ii) Eigenfunctions
… ►If is a normal value of the corresponding equation (28.2.16), then these functions are uniquely determined as analytic functions of and by the normalization … ► … ►36: 1.16 Distributions
…
►