On one kind powers sum of hyperbolic function.

Let shx and chx be hyperbolic function,simβ, cosβ be trigonometric function,complex number d≠0. The sum power of hyperbolic function and equal ratios sequence product ⁿΣ_k=0 d^ksh^kkz ⁿΣ^k=0 d^k ch'kz hyperbolic function with trigonometric function ⁿΣ^k=0 sh'kxsinkβ, ⁿΣ^k=0 sh'kxcoskβ are discussed, the calculation formulas are given by the method of generating function. [ABSTRACT FROM AUTHOR]