equações Graceli [9]

janeiro 22, 2023

{\rm {Si}}(x)=\int _{0}^{x}{\frac {\sin t}{t}}\,dt,\quad (|x|<\infty )

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

{\rm {si}}(x)=-\int _{x}^{\infty }{\frac {\sin t}{t}}\,dt={\rm {Si}}(x)-{\frac {1}{2}}\pi ,\quad (|x|<\infty )

{\rm {Ci}}(x)=\theta +\ln x+\int _{0}^{x}{\frac {\cos t-1}{t}}\,dt,\quad (0<x<\infty )

,

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

{\rm {Cin}}(x)=\int _{0}^{x}{\frac {1-\cos t}{t}}\,dt,\quad (0<x<\infty )

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

{\rm {ci}}(x)=-\int _{x}^{\infty }{\frac {\cos t}{t}}\,dt,\quad (0<x<\infty )

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

{\rm {Shi}}(x)=\int _{0}^{x}{\frac {\sinh t}{t}}\,dt

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

{\rm {Chi}}(x)=\theta +\ln x+\int _{0}^{x}{\frac {\cosh t-1}{t}}\,dt

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

{\text{cinh}}(x)=\int _{0}^{x}{\frac {\cosh(t)-1}{t}}dt

\Gamma (t)=\int _{0}^{\infty }x^{{t-1}}e^{{-x}}dx

[

(n-1)!={\frac {n!}{n}}

] / pk [

\zeta (s)=\sum _{k=1}^{\infty }k^{-s}.

] dx=

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