On the functional equations of the q-Gamma function
Copyright policy )On the functional equations of the q-Gamma function
A functional equation is a relationship between values of a function with different arguments. The author mentions some classical functional relations of the gamma function and \(q\)-gamma function. \textit{E. Artin} [The gamma function. New York-Chicago-San Francisco-Toronto-London: Holt, Rinehart and Winston (1964; Zbl 0144.06802)] provides a technique of determining the classical gamma function by a combination of some functional equations. This paper deals with the extension of the same technique for \(q\)-gamma function.
- King Abdulaziz University Saudi Arabia
- Mansoura University Egypt
\(q\)-gamma functions, \(q\)-beta functions and integrals, functional equations, Applications of basic hypergeometric functions, \(q\)-gamma function, Fourier series
\(q\)-gamma functions, \(q\)-beta functions and integrals, functional equations, Applications of basic hypergeometric functions, \(q\)-gamma function, Fourier series
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