• Kyungpook Mathematical Journal
• /
• v.56 no.3
• /
• pp.911-925
• /
• 2016

We obtain q-derivatives of Srivastava's general triple q-hypergeometric series with respect to its parameters. The particular cases leading to results for three Srivastava's triple q-hypergeometric series $H_{A,q}$, $H_{B,q}$ and $H_{C,q}$ are also considered.

• Bulletin of the Korean Mathematical Society
• /
• v.57 no.2
• /
• pp.521-533
• /
• 2020

In this paper, we compute the Bergman kernel for Ω_p,q,r = {(z, z', w) ∈ ℂ² × Δ : |z|^2p < (1 - |z'|^2q)(1 - |w|²)^r}, where p, q, r > 0 in terms of multivariable hypergeometric series. As a consequence, we obtain the behavior of K_Ωp,q,r (z, 0, 0; z, 0, 0) when (z, 0, 0) approaches to the boundary of Ω_p,q,r.