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Mathematics
Article . 2023 . Peer-reviewed
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Mathematics
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Applications of q-Real Numbers to Triple q-Hypergeometric Functions and q-Horn Functions

Authors: Thomas Ernst;

Applications of q-Real Numbers to Triple q-Hypergeometric Functions and q-Horn Functions

Abstract

The purpose of this article is to study how q-real numbers can be used for computations of convergence regions, q-integral representations of certain multiple triple q-Lauricella functions. The corresponding q-difference equations are also given without proof. In the process, we slightly improve Exton’s original formulas. We also survey the current attempts to generalize the above functions to triple and quadruple hypergeometric functions. Finally, we compute some q-analogues of transformation formulas for Horn functions.

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Sweden
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Keywords

<i>q</i>-integral representation, <i>q</i>-difference equation, Matematisk analys, q-integral representation, q-difference equation, QA1-939, convergence regions, Mathematical Analysis, convergence regions; <i>q</i>-integral representation; <i>q</i>-difference equation, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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