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The q-gamma and q-beta functions. (English) Zbl 0398.33001


MSC:

33B15 Gamma, beta and polygamma functions
33E05 Elliptic functions and integrals
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References:

[1] Andrews G. E., Aequationes Math to appear
[2] Andrews G. E., The Classical and Discrete Orthogonal Polynomials and their q-Analogues
[3] Artin E., The Gamma Function (1964) · Zbl 0144.06802
[4] Bailey W. N., Generalized Hypergeometric Series · Zbl 0011.02303
[5] Bohr, H. and Mollerup, J.Laerebog i matematisk Analyse149–164.
[6] Hahn W., Math. Nach. 2 pp 4– (1949) · Zbl 0031.39001
[7] Hahn W., Proc. Amer. Math. Soc. 63 pp 185– (1977)
[8] Jackson F. H., Quart. Jour. Pure and Appl. Math. 41 pp 193– (1910)
[9] Jackson F. H., Modular Functions in Analytic Number Theory (1970)
[10] Littlewood J. E., Proc. London Math. Soc 5 (2) pp 361– (1907) · JFM 38.0450.01
[11] Sansone G., Lectures on the Theory of Functions of a Complex Variable (1960) · Zbl 0093.26803
[12] Toeplitz O., The Calculus, {\(\alpha\)} Genetic Approach (1963) · Zbl 0125.00110
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