Generalised definitions of certain functions and their uses

2003/07/31 by Debasis Biswas, S. Biswas, Biswas, Debasis +3
Mathematics · Physics and Astronomy · #33B10 #34A25 #34A34 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.CA #math.MP #msc:33B10 #msc:34A25 #msc:34A34

paper · pdf · doi:10.48550/arxiv.math-ph/0307065

8 figures in ps format; thoroughly revised and corrected version

arxiv created 2004/04/02 · arxiv updated 2009/12/01

Abstract

Generalised definitions of exponential, trigonometric sine and cosine and hyperbolic sine and cosine functions are given. In the lowest order, these functions correspond to ordinary exponential, trigonometric sine etc. Some of the properties of the generalised functions are discussed. Importance of these functions and their possible applications are also considered.

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