On summation formulas in probability theory
Alexander E. Patkowski
TL;DR
This paper presents new summation formulas with potential applications in probability theory, supported by proofs that leverage recent analytical results related to basic hypergeometric functions.
Contribution
It introduces novel summation formulas for probability theory, utilizing recent analytical techniques involving basic hypergeometric functions.
Findings
New summation formulas introduced
Formulas have potential utility in probability theory
Proofs based on recent analysis results
Abstract
We offer some summation formulas that appear to have great utility in probability theory. The proofs require some recent results from analysis that have thus far been applied to basic hypergeometric functions.
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Taxonomy
TopicsMathematical functions and polynomials