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1692201017-38 17 Fractional Calculus and Gamma Function ASADA Akira, Freelance (Former: Sinsyu University) 3-6-21 Nogami Takarazuka, E-mail asada-a@poporo.ne.jp Abstract The following variable change formulae of fractional order and ...

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...Fractional calculus and gamma function asada akira freelance former sinsyu university nogami takarazuka e mail a poporo ne jp abstract the following variable change formulae of order log arithm di erentiation are shown frac d dx x t at text dt as an application we show group generated by l parameter groups in mathbb r is crossed product ltimesg here g s abelian b f overline multiplication c acts on translation tau introduction inde nite integral was already considered leibniz its frist abel study dynamical problem find curve when required total time for particle falling down along this given should satisfy int sqrt since i n th above can be regarded half fact equation solved using argument ulcorner raditionally used to analyse phenomena having singularities type nonlocal opertor recently owing property ects memories ofbrownian motion which thought useful mathematical nance recent studies applications refer besides these prof nakanishi sug gested use deformation canonical commutation re...
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