Permanence of Algebraic Form

All Elementary Functions can be extended to the Complex Plane. Such definitions agreewith the Real definitions on the x-Axis and constitute an Analytic Continuation.

References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, p. 380, 1985.

• Fourier Transform--Cosine
• Fourier Transform--Delta Function
• Fourier Transform--Exponential Function
• Fourier Transform--Gaussian
• Fourier Transform--Heaviside Step Function
• Fourier Transform Inverse Function
• Fourier Transform--Lorentzian Function
• Fourier Transform--Ramp Function
• Fourier Transform--Rectangle Function
• Fourier Transform--Sine
• Four Travelers Problem
• Four-Vector
• Four-Vertex Theorem
• Fox's H-Function
• F-Polynomial
• Frac
• Fractal
• Fractal Dimension
• Fractal Land
• Fractal Process
• Fractal Sequence
• Fractal Valley
• Fraction
• Fractional Calculus
• Fractional Derivative