arXiv (All)
open access
Double basic hypergeometric sums via a regularized Jackson $q$-integral
Using the Andrews--Askey integral, we derive a holomorphic extension formula for a Jackson $q$-integral. This formula allows identities established for terminating specializations to be continued to the nonterminating case. Our first application yields two companion binomial-type double-sum formulas
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Double basic hypergeometric sums via a regularized Jackson $q$-integral#809555
- Extensions of several famous combinatorial identities via hypergeometric functions#819442
- Extensions of several famous combinatorial identities via hypergeometric functions#809449
- Finite $q$-multiple harmonic sums at roots of unity: Symmetrized identities for $1$-$2$ index multisets#670475
- Finite $q$-multiple harmonic sums at roots of unity: Symmetrized identities for $1$-$2$ index multisets#668410
Record · ID 819551
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive