IJPAM: Volume 55, No. 3 (2009)

RECENT DEVELOPMENTS IN
THE THEORY OF ALPHA-CALCULUS

Clément Frappier
Department of Mathematics and Industrial Engineering
Ecole Polytechnique of Montreal
C.P. 6079, Succ. Centre-Ville
Montreal (Quebec), H3C 3A7, CANADA
e-mail: clement.frappier@polymtl.ca


Abstract.We present new and more general results related to a fractional calculus introduced in four earlier papers. That alpha-calculus permits to construct a generalized physics, with an extension to alpha-spaces of the famous formula $E=mc^2$. The study is also made as a function of the parameter $\alpha$.

Received: August 2, 2009

AMS Subject Classification: 26A33, 33C10

Key Words and Phrases: alpha-calculus, Bessel functions, alpha-physics

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 3