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Showing content from https://dlmf.nist.gov/4.36 below:

§4.36 Infinite Products and Partial Fractions ‣ Hyperbolic Functions ‣ Chapter 4 Elementary Functions

Keywords:

hyperbolic functions, infinite products, partial fractions

Notes:

Replace z by i ⁢ z in §4.22.

Permalink:

http://dlmf.nist.gov/4.36

See also:

Annotations for Ch.4

Symbols:

π : the ratio of the circumference of a circle to its diameter, sinh ⁡ z : hyperbolic sine function, n : integer and z : complex variable

A&S Ref:

4.5.68

Permalink:

http://dlmf.nist.gov/4.36.E1

Encodings:

TeX, pMML, png

See also:

Annotations for §4.36 and Ch.4

Symbols:

π : the ratio of the circumference of a circle to its diameter, cosh ⁡ z : hyperbolic cosine function, n : integer and z : complex variable

A&S Ref:

4.5.69

Permalink:

http://dlmf.nist.gov/4.36.E2

Encodings:

TeX, pMML, png

See also:

Annotations for §4.36 and Ch.4

When z ≠ n ⁢ π ⁢ i , n ∈ ℤ ,

Symbols:

π : the ratio of the circumference of a circle to its diameter, coth ⁡ z : hyperbolic cotangent function, n : integer and z : complex variable

Permalink:

http://dlmf.nist.gov/4.36.E3

Encodings:

TeX, pMML, png

See also:

Annotations for §4.36 and Ch.4

Symbols:

π : the ratio of the circumference of a circle to its diameter, csch ⁡ z : hyperbolic cosecant function, i : imaginary unit, n : integer and z : complex variable

Permalink:

http://dlmf.nist.gov/4.36.E4

Encodings:

TeX, pMML, png

See also:

Annotations for §4.36 and Ch.4

Symbols:

π : the ratio of the circumference of a circle to its diameter, csch ⁡ z : hyperbolic cosecant function, n : integer and z : complex variable

Permalink:

http://dlmf.nist.gov/4.36.E5

Encodings:

TeX, pMML, png

See also:

Annotations for §4.36 and Ch.4

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