Modulus (Complex Number)

The modulus of a Complex Number is denoted .

(1)

(2)

			(3)
			(4)

(5)

			(6)
			(7)

(8)

(9)

The only functions satisfying identities of the form

(10)

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 16, 1972.

Robinson, R. M. ``A Curious Mathematical Identity.'' Amer. Math. Monthly 64, 83-85, 1957.

• Ramanujan Constant
• Ramanujan Continued Fraction
• Ramanujan Cos/Cosh Identity
• Ramanujan-Eisenstein Series
• Ramanujan Function
• Ramanujan g- and G-Functions
• Ramanujan-Petersson Conjecture
• Ramanujan Psi Sum
• Ramanujan's Hypergeometric Identity
• Ramanujan's Hypothesis
• Ramanujan's Identity
• Ramanujan's Integral
• Ramanujan's Interpolation Formula
• Ramanujan's Master Theorem
• Ramanujan's Square Equation
• Ramanujan's Sum
• Ramanujan's Sum Identity
• Ramanujan's Tau-Dirichlet Series
• Ramanujan's Tau Function
• Ramanujan Theta Functions
• Ramp Function
• Ramphoid Cusp
• Ramsey Number
• Ramsey's Theorem
• Randelbrot Set