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- W1969172297 abstract "For ‖q‖ ≠ 1, the integral definition of the gamma function in terms of the exponential function is generalized to a definition of a q-gamma function, or a family of q-gamma functions, in the standard and symmetric cases, using the q-exponential functions and their asymptotic behavior as z → ∞ on geometric sequences {zn(ζ)= qnζ}n∈Z with common ratio q. The properties of the q-gamma functions (poles, zeros, product expansions) are also determined." @default.
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- W1969172297 date "1995-01-01" @default.
- W1969172297 modified "2023-10-18" @default.
- W1969172297 title "<i>q</i>‐exponential and <i>q</i>‐gamma functions. II. <i>q</i>‐gamma functions<sup>a)</sup>" @default.
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- W1969172297 doi "https://doi.org/10.1063/1.531323" @default.
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