Basis analog of \(H\)-function of one and two variables (Q1603078)
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scientific article; zbMATH DE number 1758685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Basis analog of \(H\)-function of one and two variables |
scientific article; zbMATH DE number 1758685 |
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Basis analog of \(H\)-function of one and two variables (English)
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16 February 2003
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The authors study in some depth the basis \(H\)-function of two variables which is defined by the double Mellin-Barnes type contour integral whose kernel involves products of \(q\)-gamma functions [\textit{Nguyen Thanh Hai}, Izv. Akad. Belarusi SSR Ser. Fiz.-Mat. Nauk 1992, No. 1, 25--31 (1992; Zbl 0769.33009)]. The results proved in the paper relate to obtaining sufficient convergence conditions and integral and contiguous relations. Particular examples are also mentioned.
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Mellin-Barnes integrals
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\(H\)-function
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\(q\)-analogues
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\(G\)-functions
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