Q-Function
Let
 | (1) |
 |  |  | (2) |
 | |  | (3) |
 | |  | (4) |
 | |  | (5) |
The
-functions are sometimes written using a lower-case 
instead of a capital . The -functions also satisfy the identities |  |  | (6) |
 | |  | (7) |
 | |  | (8) |
 | |  | (9) |
See also Jacobi Identities, q-Series
References
Borwein, J. M. and Borwein, P. B. Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity. New York: Wiley, pp. 55 and 63-85, 1987. Tannery, J. and Molk, J. Elements de la Théorie des Fonctions Elliptiques, 4 vols. Paris: Gauthier-Villars et fils, 1893-1902. Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, pp. 469-473 and 488-489, 1990.
- Bipyramid
- Biquadratefree
- Biquadratic Equation
- Biquadratic Number
- Biquadratic Reciprocity Theorem
- Biquaternion
- Birational Transformation
- Birch Conjecture
- Birch-Swinnerton-Dyer Conjecture
- Birkhoff's Ergodic Theorem
- Birotunda
- Birthday Attack
- Birthday Problem
- Bisected Perimeter Point
- Bisection Procedure
- Bisector
- Bishop's Inequality
- Bishops Problem
- Bislit Cube
- Bispherical Coordinates
- Bitangent
- Bit Complexity
- Bivariate Distribution
- Bivector
- Biweight