FUNÇÕES E EQUAÇÕES GRACELI [20]

$f(x)={\frac {a_{0}}{2}}+\sum _{n=1}^{\infty }(a_{n}\cos(nx)+b_{n}\operatorname {sen}(nx))$ (1) [função de Furier].

an = 1/ [ ${\frac {\pi }{2}}t^{2}$ ] + [f [x] cos $\operatorname {Li} _{s}(z)$ $\psi _{n}(z)$ $\Gamma (z)$ δ [x] $[$ $\zeta (s)$ [x]

an = 1/ [ ${\frac {\pi }{2}}t^{2}$ ] + [f [x] sin $\operatorname {Li} _{s}(z)$ $\psi _{n}(z)$ $\Gamma (z)$ δ [x] $[$ $\zeta (s)$ [x]

f [x] = 1/ [ ${\frac {\pi }{2}}t^{2}$ ] + [a / $[pk] n!, ] cos [$ $n!, ] + b sen$ [a / $[pk] n!, ] =$

${\frac {\pi }{2}}t^{2}$ $\zeta (s)$ / [ $\pi$ / pk] $+ b sen [a / [pk] n!, ]$ $\zeta (s)$ / [ $\pi$ / pk] $=$

f [a,b] = a [1 - /] [ $n!,$ ${\frac {\pi }{2}}t^{2}$ ]sen [x] [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ] [$ $\ln(n!)=\sum _{{k=1}}^{n}{\ln(k)}$ $\zeta (s)$ / [ $\pi$ / pk]

b 2 [- /] [ ${\frac {\pi }{2}}t^{2}$ ] sen [x] [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ] [$ $\ln(n!)=\sum _{{k=1}}^{n}{\ln(k)}$ $\zeta (s)$ / [ $\pi$ / pk] =

f [a,b] = a [1 - /] [ $,$ ${\frac {\pi }{2}}t^{2}$ ]sen [x] 1 / [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ] [$ $\ln(n!)=\sum _{{k=1}}^{n}{\ln(k)}$ $\zeta (s)$ / [ $\pi$ / pk] =

b 2 [1 - /] [ $n!,$ ${\frac {\pi }{2}}t^{2}$ ]sen [x] 1 / [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ] [$ $\ln(n!)=\sum _{{k=1}}^{n}{\ln(k)}$ $\zeta (s)$ / [ $\pi$ / pk] =

sen [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ] [$ $\ln(n!)=\sum _{{k=1}}^{n}{\ln(k)}$ $\zeta (s)$ / [ $\pi$ / pk] =

sen [x] $\pi$ [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ]$ $\operatorname {Li} _{s}(z)$ $\psi _{n}(z)$ $\Gamma (z)$ δ [x] $[$ $\zeta (s)$ / [ $\pi$ / pk] =

sen [x]1 / [ ${\frac {\pi }{2}}t^{2}$ ] / $[pk] n!, ]$ $\operatorname {Li} _{s}(z)$ $\psi _{n}(z)$ $\Gamma (z)$ δ [x] $[$ $\zeta (s)$ / [ $\pi$ / pk] =

sin[x] =sen $\pi$ / [ ${\frac {\pi }{2}}t^{2}$ ] / $n!, ]$ $\operatorname {Li} _{s}(z)$ $\psi _{n}(z)$ $\Gamma (z)$ δ [x] $[$ $\zeta (s)$ d[x]=

sen [x] [ ${\frac {\pi }{2}}t^{2}$ ] $[pk] n!, ] [$ $\ln(n!)=\sum _{{k=1}}^{n}{\ln(k)}$ $\zeta (s)$ / [ $\pi$ / pk] dx=

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FUNÇÕES E EQUAÇÕES GRACELI [20]

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