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On transcendental functions
Authors:P Thathabai Nowroji  M Muniasamy
Institution:1. Department of Mathematics, Manonmaniam Sundaranar University, 627012, Tirunelveli, Tamil Nadu, India
2. Department of Mathematics, Kamaraj College, 628003, Thoothukudi, Tamil Nadu, India
Abstract:Functions like loge x, e x , e z and loge z are defined and studied systematically. It is observed thate z is the only complex analytic extension of the real analytic functione x . It is also observed that the power (analyticity) of ez is by choice and the beauty (its derivative is itself) of ez is unexpected.
Keywords:
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