Distribution Theorem s for Values ofPower Functions
with Complex Bases and Exponents

TONG Ji-xian

Volume 18 Issue 6

Dec. 2005

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Article Contents

Journal of Southwest Jiaotong University > 2005 > 18(6): 829-831.

TONG Ji-xian. Distribution Theorem s for Values ofPower Functionswith Complex Bases and Exponents[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 829-831.

Citation:

TONG Ji-xian. Distribution Theorem s for Values ofPower Functions with Complex Bases and Exponents[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 829-831.

TONG Ji-xian. Distribution Theorem s for Values ofPower Functionswith Complex Bases and Exponents[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 829-831.

Citation:

TONG Ji-xian. Distribution Theorem s for Values ofPower Functions with Complex Bases and Exponents[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 829-831.

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Distribution Theorem s for Values ofPower Functions with Complex Bases and Exponents

TONG Ji-xian

Publish Date: 25 Dec 2005

Abstract

Abstract

By theorem of real funcion, the distribution theorems for infinite numberofvalues ofpower functionswith complex bases and exponentswere discussed. If the exponentαis an irrationalnumber, the the values are densely distributed on a circle. Ifαis a pure imaginary number, the values form an isolated setand are distributed on a ray. Ifαis a complex number (non-realnumber), the values are distributed on a logarithmic spiral.
- complex base,
- complex exponent,
- value,
- distribution,
- power function