§4.9 Continued Fractions

4.9.1 .

Symbols:

: principal branch of logarithm function, : phase and : complex variable

A&S Ref:

4.1.39

Permalink:

http://dlmf.nist.gov/4.9.E1

Encodings:

TeX, pMML, png

4.9.2

Symbols:

: principal branch of logarithm function and : complex variable

A&S Ref:

4.1.40

Permalink:

http://dlmf.nist.gov/4.9.E2

Encodings:

TeX, pMML, png

valid when ; see Figure 4.23.1(i).

For other continued fractions involving logarithms see Lorentzen and Waadeland (1992, pp. 566–568). See also Cuyt et al. (2008, pp. 196–200).

For ,

4.9.3

Symbols:

: base of exponential function, : integer and : complex variable

A&S Ref:

4.2.40

Permalink:

http://dlmf.nist.gov/4.9.E3

Encodings:

TeX, TeX, TeX, pMML, pMML, pMML, png, png, png

4.9.4

Symbols:

: base of exponential function, : : factorial, : integer, : complex variable and : expansion of exponential

A&S Ref:

4.2.41

Permalink:

http://dlmf.nist.gov/4.9.E4

Encodings:

TeX, pMML, png

where

4.9.5

Symbols:

: : factorial, : integer, : integer, : complex variable and : expansion of exponential

Permalink:

http://dlmf.nist.gov/4.9.E5

Encodings:

TeX, pMML, png

For other continued fractions involving the exponential function see Lorentzen and Waadeland (1992, pp. 563–564). See also Cuyt et al. (2008, pp. 193–195).

See Cuyt et al. (2008, pp. 217–220).