The Fractional Meta-Trigonometry Based on the R-Function: Part II—Parity Function Graphics, Laplace Transforms, Fractional Derivatives, Meta-Properties Available to Purchase

The current fractional trigonometries and hyperboletry are based on three forms of the fractional exponential R-function, R_q,v(a,t), R_q,v(ai,t), and R_q,v(a,it). The fractional meta-trigonometry extends this to an infinite number of bases using the form R_q,v(ai^α,i^βt). Meta-definitions, meta-Laplace transforms, and meta-identities are developed for these generalized fractional trigonometric functions. Graphic results are presented. Extensions of the fractional trigonometries to the negative time domain and complementary fractional trigonometries are considered. Part II continues from the definition set and graphics given in Part I. It provides a minimal set of graphic results for the parity meta-fractional trigonometry and develops the meta-properties described above.