Manuals/calci/IMEXP

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IMEXP(z)


  • where is the complex number.

Description

  • This function gives the exponential of a complex number.
  • In  ,   is the complex number of the form  ,  &  are real numbers &   is the imaginary unit.  .
  • Euler's formula states that  , for any real number   and   is the base of the natural logarithm.
  • The approximate value of the constant e=2.718281828459045 and it is equal to  . So the exponential of a complex number is :  .
  • When imaginary part is '0', it will give the exponent value of the real number. *i.e.IMEXP(z)=EXP(z) when imaginary number (iy) is '0'.
  • We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.

Examples

  1. IMEXP("2+3i")=-7.315110094901102+1.0427436562359i
  2. IMEXP("4-5i")=15.4874305606508+52.355491418482i
  3. IMEXP("6")=403.428793492735
  4. IMEXP("2i")=-0.416146836547142+0.909297426825682i
  5. IMEXP("0")=1 andIMEXP("0i")=1

See Also

References

Exponential function