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Superfunctions and sqrt of factorial. (English. Russian original) Zbl 1250.30002

Mosc. Univ. Phys. Bull. 65, No. 1, 6-12 (2010); translation from Vest. Mosk. Univ., Ser. III 2010, No. 1, 8-14 (2010).
Summary: A holomorphic function \(h\) is constructed such that \(h h z = z!\); this function is interpreted as a square root of the factorial.

MSC:

30A99 General properties of functions of one complex variable
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
33B15 Gamma, beta and polygamma functions
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References:

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